Log in

Relevant bibliographies by topics / Gradings / Journal articles

To see the other types of publications on this topic, follow the link: Gradings.

Journal articles on the topic 'Gradings'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Gradings.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Khazal, R., Crina Boboc, and S. Dăscălescu. "Group gradings of M2(K)." Bulletin of the Australian Mathematical Society 68, no. 2 (October 2003): 285–93. http://dx.doi.org/10.1017/s0004972700037667.

Full text

Abstract:

We describe all group gradings of the matrix algebra M2(k), where k is an arbitrary field. We prove that any such grading reduces to a grading of type C2, a grading of type C2 × C2, or to a good grading. We give new simple proofs for the description of C2-gradings and C2 × C2-gradings on M2(K).

APA, Harvard, Vancouver, ISO, and other styles

2

Gordienko, Alexey, and Ofir Schnabel. "Categories and Weak Equivalences of Graded Algebras." Algebra Colloquium 26, no. 04 (November 18, 2019): 643–64. http://dx.doi.org/10.1142/s1005386719000476.

Full text

Abstract:

In the study of the structure of graded algebras (such as graded ideals, graded subspaces, and radicals) or graded polynomial identities, the grading group can be replaced by any other group that realizes the same grading. Here we come to the notion of weak equivalence of gradings: two gradings are weakly equivalent if there exists an isomorphism between the graded algebras that maps each graded component onto a graded component. Each group grading on an algebra can be weakly equivalent to G-gradings for many different groups G; however, it turns out that there is one distinguished group among them, called the universal group of the grading. In this paper we study categories and functors related to the notion of weak equivalence of gradings. In particular, we introduce an oplax 2-functor that assigns to each grading its support, and show that the universal grading group functor has neither left nor right adjoint.

APA, Harvard, Vancouver, ISO, and other styles

3

Havlíček, Miloslav, Jiří Patera, and Edita Pelantová. "On the Fine Gradings of Simple Classical Lie Algebras." International Journal of Modern Physics A 12, no. 01 (January 10, 1997): 189–94. http://dx.doi.org/10.1142/s0217751x97000268.

Full text

Abstract:

Using the classification of maximal commutative subgroups in group of automorphisms of gl(n,C), we describe procedure for obtaining fine gradings in simple classical Lie algebras. This algorithm is applied to the algebras sl(4,C), o(4,C) and sp(4,C). Every grading is associated with label graphs. In this way, the problem whether two gradings are equivalent is reduced to the problem whether corresponding graphs are isomorphic. It is shown that there exist exactly 9 nonequivalent fine gradings in gl(4,C), 6 fine gradings in o(4,C) and 3 fine gradings in sp(4,C).

APA, Harvard, Vancouver, ISO, and other styles

4

Hupe, Marie Christine, Anne Offermann, Verena Sailer, Axel S. Merseburger, and Sven Perner. "Das neue ISUP 2014/WHO 2016 Prostatakarzinom-Grading – Status quo 5 Jahre nach seiner Einführung." Aktuelle Urologie 50, no. 06 (August 7, 2019): 619–24. http://dx.doi.org/10.1055/a-0918-9473.

Full text

Abstract:

Zusammenfassung Hintergrund Im Jahr 2014 wurde durch die ISUP (International Society of Urological Pathology) eine Modifikation des Gradings für das Prostatakarzinom (PCa) eingeführt, welches 2016 von der Weltgesundheitsorganisation (WHO) anerkannt und übernommen wurde. Neben der Definition von 5 „Grade Groups“ wurden auch einige histomorphologische Kriterien angepasst. Unsere Übersichtsarbeit stellt die Ergebnisse aller aktuellen Studien und deren Bewertungen des neuen Gradings zusammen. Material und Methoden Es erfolgte eine Literaturrecherche in der PubMed-Datenbank. Insgesamt sind aus dem Zeitraum 2016 – 2018 15 Studien identifiziert und in die Übersicht eingeschlossen worden. Ergebnisse Die Hauptziele des neuen ISUP 2014/WHO 2016 PCa-Gradings sind ein (I) präziseres und vereinfachtes Grading, (II) eine verringerte Übertherapie indolenter PCa und (III) eine verbesserte Kommunikation mit den Patienten. Die Mehrzahl der Studien wählte das biochemische Rezidiv als Endpunkt und bescheinigte dem neuen Grading eine höhere prognostische Wertigkeit im Vergleich zum früheren Gleason Grading. Interessanterweise war es jedoch nur in wenigen Studien klar ersichtlich, dass die archivierten Proben tatsächlich auch nach den modifizierten histomorphologischen Kriterien reevaluiert („Re-Grading“) und nicht nur in die neuen „Grade Groups“ übersetzt wurden („Re-Grouping“). Schlussfolgerung Die Mehrheit der analysierten Studien bestätigt die prognostische Wertigkeit des neuen ISUP 2014/WHO 2016 Gradings und empfiehlt dessen weltweite Anwendung. Jedoch muss bei der Interpretation bisheriger Studien berücksichtigt werden, dass das notwendige „Re-Grading“ als korrekte Anwendung des neuen Gradings nicht immer klar ersichtlich war.

APA, Harvard, Vancouver, ISO, and other styles

5

Koshrawipour, Tanja, Ingo Stricker, Andrea Tannapfel, Lars Steinstraesser, Stefan Langer, and Andrej Ring. "Risk factors leading to grading changes within 300 low-grade soft tissue sarcomas." Journal of Clinical Oncology 30, no. 15_suppl (May 20, 2012): 10059. http://dx.doi.org/10.1200/jco.2012.30.15_suppl.10059.

Full text

Abstract:

10059 Background: Soft tissue sarcomas (STS) are rare, mesenchymal derived tumors. Based on malignancy, three grades are distinguished with G1 equaling low grade, G2 intermediate grade and G3 high grade, respectively. Studies have shown that some G1 tumors which underwent complete surgical resection reoccurred as lesions with a grading shift from G1 to higher malignancy. This grading change is referred to as up grading. Patients with grading changes were thoroughly examined in our study. Our aim was to find possible risk factors for up gradings, such as age, localization of tumor and tumor type. Methods: This retrospective case control study evaluated 333 Patients, who, between 1996 to 2011 were treated for G1 STS at Bergmannsheil Bochum, university clinic. These patients received complete initial surgical resection. Among our 333 patients, 9.9% (n=33) developed up gradings of their STS. These were then reviewed more closely in the aim of finding possible risk factors. We did not exclude any patients from our data or deliberately pick any grading changers and regard our collective as randomly sampled. The processed data includes age, gender, tumor type, tumor localization, occurrence of recidive and grading change. Results: Patients with up gradings were found to have a higher mean age of 4, 5 years than reference collective. The tumor type has a strong, statistically significant effect on grading change as patients with fibrosarcomas have a threefold risk of developing up gradings when compared to patients with other G1 STS. Conclusions: Our results indicate that age and tumor type play the key role in the development of up gradings in low malignant STS .Patients aged 60 and above diagnosed with fibrosarcomas are at a 3 times higher risk of developing a grading change as opposed to patients younger than 60 with other low grade STS than fibrosarcoma. We discussed the significance of these risk factors and argued whether, in addition to wide tumor resection, a short term postoperative radiotherapy should be applied for these patients to improve therapeutical outcome.

APA, Harvard, Vancouver, ISO, and other styles

6

Allison, Bruce, and Oleg Smirnov. "Coordinatization Theorems For Graded Algebras." Canadian Mathematical Bulletin 45, no. 4 (December 1, 2002): 451–65. http://dx.doi.org/10.4153/cmb-2002-048-4.

Full text

Abstract:

AbstractIn this paper we study simple associative algebras with finite -gradings. This is done using a simple algebra Fg that has been constructed in Morita theory from a bilinear form g : U × V → A over a simple algebra A. We show that finite -gradings on Fg are in one to one correspondence with certain decompositions of the pair (U, V). We also show that any simple algebra R with finite -grading is graded isomorphic to Fg for some bilinear from g : U × V → A, where the grading on Fg is determined by a decomposition of (U, V) and the coordinate algebra A is chosen as a simple ideal of the zero component R0 of R. In order to prove these results we first prove similar results for simple algebras with Peirce gradings.

APA, Harvard, Vancouver, ISO, and other styles

7

Glabowski, Mariusz, Slawomir Hanczewski, Maciej Stasiak, and Joanna Weissenberg. "Modeling Erlang's Ideal Grading with Multirate BPP Traffic." Mathematical Problems in Engineering 2012 (2012): 1–35. http://dx.doi.org/10.1155/2012/456910.

Full text

Abstract:

This paper presents a complete methodology for modeling gradings (also called non-full-availability groups) servicing single-service and multi-service traffic streams. The methodology worked out by the authors makes it possible to determine traffic characteristics of various types of gradings with state-dependent call arrival processes, including a new proposed structure of the Erlang’s Ideal Grading with the multirate links. The elaborated models of the gradings can be used for modeling different systems of modern networks, for example, the radio interfaces of the UMTS system, switching networks carrying a mixture of different multirate traffic streams, and video-on-demand systems. The results of the analytical calculations are compared with the results of the simulation data for selected gradings, which confirm high accuracy of the proposed methodology.

APA, Harvard, Vancouver, ISO, and other styles

8

Han, Gang, Yucheng Liu, and Kang Lu. "Multiplicity-Free Gradings on Semisimple Lie and Jordan Algebras and Skew Root Systems." Algebra Colloquium 26, no. 01 (March 2019): 123–38. http://dx.doi.org/10.1142/s1005386719000129.

Full text

Abstract:

A G-grading on an algebra, where G is an abelian group, is called multiplicity-free if each homogeneous component of the grading is 1-dimensional. We introduce skew root systems of Lie type and skew root systems of Jordan type, and use them to construct multiplicity-free gradings on semisimple Lie algebras and on semisimple Jordan algebras respectively. Under certain conditions the corresponding Lie (resp., Jordan) algebras are simple. Two families of skew root systems of Lie type (resp., of Jordan type) are constructed and the corresponding Lie (resp., Jordan) algebras are identified. This is a new approach to study abelian group gradings on Lie and Jordan algebras.

APA, Harvard, Vancouver, ISO, and other styles

9

Cibils, Claude, María Julia Redondo, and Andrea Solotar. "On universal gradings, versal gradings and Schurian generated categories." Journal of Noncommutative Geometry 8, no. 4 (2014): 1101–22. http://dx.doi.org/10.4171/jncg/180.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Draper, Cristina, and Cándido Martín. "Gradings on g2." Linear Algebra and its Applications 418, no. 1 (October 2006): 85–111. http://dx.doi.org/10.1016/j.laa.2006.01.017.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Bahturin, Y. A., and M. V. Tvalavadze. "Group Gradings onG2." Communications in Algebra 37, no. 3 (March 10, 2009): 885–93. http://dx.doi.org/10.1080/00927870802278529.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Pickett, George. "Gradings and icebergs." Physics World 2, no. 12 (December 1989): 19. http://dx.doi.org/10.1088/2058-7058/2/12/11.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Calderón Martín, Antonio Jesús, Cándido Martín González, and Daouda Ndoye. "On groupoid gradings." Journal of Geometry and Physics 123 (January 2018): 61–70. http://dx.doi.org/10.1016/j.geomphys.2017.08.015.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Elduque, Alberto. "Gradings on Octonions." Journal of Algebra 207, no. 1 (September 1998): 342–54. http://dx.doi.org/10.1006/jabr.1998.7474.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Elduque, Alberto. "Fine gradings and gradings by root systems on simple Lie algebras." Revista Matemática Iberoamericana 31, no. 1 (2015): 245–66. http://dx.doi.org/10.4171/rmi/832.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Pagon, Dušan, Dušan Repovš, and Mikhail Zaicev. "Group Gradings on Finite Dimensional Lie Algebras." Algebra Colloquium 20, no. 04 (October 7, 2013): 573–78. http://dx.doi.org/10.1142/s1005386713000540.

Full text

Abstract:

We study gradings by non-commutative groups on finite dimensional Lie algebras over an algebraically closed field of characteristic zero. It is shown that if L is graded by a non-abelian finite group G, then the solvable radical R of L is G-graded and there exists a Levi subalgebra B=H1⊕ ⋯ ⊕ Hm homogeneous in G-grading with graded simple summands H1,…,Hm. All Supp Hi (i=1,…,m) are commutative subsets of G.

APA, Harvard, Vancouver, ISO, and other styles

17

Green, Edward L., and Dieter Happel. "Gradings and Derived Categories." Algebras and Representation Theory 14, no. 3 (December 11, 2009): 497–513. http://dx.doi.org/10.1007/s10468-009-9200-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Lenstra, H. W., and A. Silverberg. "Universal gradings of orders." Archiv der Mathematik 111, no. 6 (August 16, 2018): 579–97. http://dx.doi.org/10.1007/s00013-018-1228-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Córdova-Martínez, Alejandra S., and Alberto Elduque. "Gradings on semisimple algebras." Linear Algebra and its Applications 559 (December 2018): 145–71. http://dx.doi.org/10.1016/j.laa.2018.09.002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Havlícek, Miloslav, Jiří Patera, and Edita Pelantova. "On Lie gradings II." Linear Algebra and its Applications 277, no. 1-3 (June 1998): 97–125. http://dx.doi.org/10.1016/s0024-3795(97)10039-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Aranda-Orna, Diego. "Gradings on Composition Superalgebras." Communications in Algebra 43, no. 6 (April 17, 2015): 2367–87. http://dx.doi.org/10.1080/00927872.2014.892953.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Boboc, Crina, and S. Dăscălescu. "Group Gradings onM3(k)." Communications in Algebra 35, no. 9 (September 12, 2007): 2654–70. http://dx.doi.org/10.1080/00927870701351286.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Aljadeff, Eli, and Ofir David. "On regular $G$-gradings." Transactions of the American Mathematical Society 367, no. 6 (December 5, 2014): 4207–33. http://dx.doi.org/10.1090/s0002-9947-2014-06200-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Anderson, Alun. "Research gradings stir emotions." Nature 322, no. 6077 (July 1986): 299. http://dx.doi.org/10.1038/322299a0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Patera, J., and H. Zassenhaus. "On lie gradings. I." Linear Algebra and its Applications 112 (January 1989): 87–159. http://dx.doi.org/10.1016/0024-3795(89)90591-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Saorín, Manuel. "Monoid gradings on algebras and the cartan determinant conjecture." Proceedings of the Edinburgh Mathematical Society 41, no. 3 (October 1998): 539–51. http://dx.doi.org/10.1017/s0013091500019878.

Full text

Abstract:

In this work we tackle the Cartan determinant conjecture for finite-dimensional algebras through monoid gradings. Given an adequate ∑-grading on the left Artinian ring A, where ∑ is a monoid, we construct a generalized Cartan matrix with entries in ℤ∑, which is right invertitale whenever gl.dim A < ∞. That gives a positive answer to the conjecture when A admits a strongly adequate grading by an aperiodic commutative monoid. We then show that, even though this does not give a definite answer to the conjecture, it strictly widens the class of known graded algebras for which it is true.

APA, Harvard, Vancouver, ISO, and other styles

27

Iqbal, Waqas, Arhamma Surwaich, Surwaich Ali Channa, Khalid Yousuf Memon, Abdul Majid, Zafar Iqbal, and Naeem Bukhari. "Association of CK-19 with histopathological grading of oral squamous cell carcinomas (OSCC)." Professional Medical Journal 28, no. 02 (February 10, 2021): 247–52. http://dx.doi.org/10.29309/tpmj/2021.28.02.5067.

Full text

Abstract:

Objectives: To correlate CK-19 with different histopathological gradings of oral squamous cell carcinomas (OSCCs). Methods: Study Design: Descriptive study. Setting: Department of Outpatient, ISRA Dental College Hospital. Period: January 2014 to November 2019. Material & Methods: In current study 60 suspected patients of oral squamous cell carcinomas were enrolled for cancer diagnosis and histopathological evaluation. Incisional biopsy method was opted for tissue sample collection. Patients from both genders were tested for CK-19 at different histopathological gradings. Ethical approval was properly taken from Institutional review board and patients’ willingness to participate in the study was ensured. For statistical data analysis SPSS version 21.0 and Revman5.30 multiple tools were used. Results: Histopathological grading of sixty suspected cases of OSCCs was done into four different gradings which include, poorly differentiated, moderately differentiated, well differentiated and undifferentiated OSCCs. Fifty-two (87 %) of the included subjects were male, where only 8 patients were female. The mean age of female to male was (36.14 vs. 43.21 years). Out of 12 positive cases of OSCCs. CK-19 was found positive in 10 cases (83.3%) in well differentiated Oral Squamous cell carcinomas, where only 2 cases (16 %) of moderately differentiated OSCCs were positive against CK-19. Conclusion: Our outcomes suggest CK-19 has strong association with well differentiated and moderately differentiated Oral Squamous cell carcinomas. We highly recommend further research standardizing CK-19 as a promising histopathological grading marker.

APA, Harvard, Vancouver, ISO, and other styles

28

Henry, Fernando. "Some graded identities of the Cayley–Dickson algebra." International Journal of Algebra and Computation 28, no. 05 (August 2018): 697–718. http://dx.doi.org/10.1142/s0218196718500327.

Full text

Abstract:

We work to find a basis of graded identities for the octonion algebra. We do so for the [Formula: see text] and [Formula: see text] gradings, both of them derived of the Cayley–Dickson (C–D) process, the later grading being possible only when the characteristic of the scalars is not two.

APA, Harvard, Vancouver, ISO, and other styles

29

Havlíček, Miloslav, Jiří Patera, and Edita Pelantová. "On Lie gradings III. Gradings of the real forms of classical Lie algebras." Linear Algebra and its Applications 314, no. 1-3 (July 2000): 1–47. http://dx.doi.org/10.1016/s0024-3795(00)00099-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

DI VINCENZO, ONOFRIO M., and VINCENZO NARDOZZA. "GRADED POLYNOMIAL IDENTITIES OF VERBALLY PRIME ALGEBRAS." Journal of Algebra and Its Applications 06, no. 03 (June 2007): 385–401. http://dx.doi.org/10.1142/s0219498807002193.

Full text

Abstract:

Let F be a field and let E be the Grassmann algebra of an infinite dimensional F-vector space. For any p,q ∈ ℕ, the algebra Mp,q(E) can be turned into a ℤp+q × ℤ2-algebra by combining an elementary ℤp+q-grading with the natural ℤ2-grading on E. The tensor product Mp,q(E) ⊗ Mr,s(E) can be turned into a ℤ(p+q)(r+s) × ℤ2-algebra in a similar way. In this paper, we assume that F has characteristic zero and describe a system of generators for the graded polynomial identities of the algebras Mp,q(E) and Mp,q(E) ⊗ Mr,s(E) with respect to these new gradings. We show that this tensor product is graded PI-equivalent to Mpr+qs,ps+qr(E). This provides a new proof of the well known Kemer's PI-equivalence between these algebras. Then we classify all the graded algebras Mp,q(E) having no non-trivial monomial identities, and finally calculate how many non-isomorphic gradings of this new type are available for Mp,q(E).

APA, Harvard, Vancouver, ISO, and other styles

31

Kenttämies, Hilkka, and Kerstin Smeds. "Repeatability of subjective grading in fur animals III. Grading of live blue foxes in different environmental conditions." Agricultural and Food Science 1, no. 3 (May 1, 1992): 315–22. http://dx.doi.org/10.23986/afsci.72452.

Full text

Abstract:

Association between repeatedly scored body size and fur characteristics were studied in live blue foxes. Gradings in cages and outside cages in lamplight and daylight were also compared. Colour tended to be easier and clarity more difficult to evaluate than the other traits. Differences between judges in accuracy of grading were greater than between various grading environments. The grading was more reliable outside cages than within cages. The most uniform results were obtained when the same judge graded the animals in the same environmental conditions.

APA, Harvard, Vancouver, ISO, and other styles

32

Bahturin, Y. A., and A. Giambruno. "Group Gradings on Associative Algebras with Involution." Canadian Mathematical Bulletin 51, no. 2 (June 1, 2008): 182–94. http://dx.doi.org/10.4153/cmb-2008-020-7.

Full text

Abstract:

AbstractIn this paper we describe the group gradings by a finite abelian group G of the matrix algebra Mn(F) over an algebraically closed field F of characteristic different from 2, which respect an involution (involution gradings). We also describe, under somewhat heavier restrictions on the base field, all G-gradings on all finite-dimensional involution simple algebras.

APA, Harvard, Vancouver, ISO, and other styles

33

Jędrzejewicz, Piotr. "Linear gradings of polynomial algebras." Central European Journal of Mathematics 6, no. 1 (February 27, 2008): 13–24. http://dx.doi.org/10.2478/s11533-008-0002-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Bahturin, Yu A., and M. V. Zaicev. "Group Gradings on Matrix Algebras." Canadian Mathematical Bulletin 45, no. 4 (December 1, 2002): 499–508. http://dx.doi.org/10.4153/cmb-2002-051-x.

Full text

Abstract:

AbstractLet Φ be an algebraically closed field of characteristic zero, G a finite, not necessarily abelian, group. Given a G-grading on the full matrix algebra A = Mn(Φ), we decompose A as the tensor product of graded subalgebras A = B ⊗ C, B ≅ Mp(Φ) being a graded division algebra, while the grading of C ≅ Mq(Φ) is determined by that of the vector space Φn. Now the grading of A is recovered from those of A and B using a canonical “induction” procedure.

APA, Harvard, Vancouver, ISO, and other styles

35

Bahturin, Yuri, Matej Brešar, and Ivan Shestakov. "Jordan Gradings on Associative Algebras." Algebras and Representation Theory 14, no. 1 (December 5, 2009): 113–29. http://dx.doi.org/10.1007/s10468-009-9180-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Dăscălescu, Sorin. "Group gradings on diagonal algebras." Archiv der Mathematik 91, no. 3 (July 25, 2008): 212–17. http://dx.doi.org/10.1007/s00013-008-2723-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Daza-García, Alberto, Alberto Elduque, and Liming Tang. "Cross products, automorphisms, and gradings." Linear Algebra and its Applications 610 (February 2021): 227–56. http://dx.doi.org/10.1016/j.laa.2020.09.043.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Elduque, Alberto. "More non-semigroup Lie gradings." Linear Algebra and its Applications 431, no. 9 (October 2009): 1603–6. http://dx.doi.org/10.1016/j.laa.2009.05.030.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Lundström, Patrik. "Good Magma Gradings on Rings." Communications in Algebra 42, no. 12 (June 9, 2014): 5357–73. http://dx.doi.org/10.1080/00927872.2011.616563.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Dăscălescu, S., C. Năstăsescu, and L. Năstăsescu. "Group Gradings on Polynomial Algebras." Communications in Algebra 44, no. 8 (July 15, 2015): 3340–48. http://dx.doi.org/10.1080/00927872.2015.1057829.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Miller, Lance, and Eugene Spiegel. "Group Gradings in Incidence Algebras." Communications in Algebra 38, no. 3 (March 16, 2010): 953–63. http://dx.doi.org/10.1080/00927870903466759.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Anquela, José A., and Teresa Cortés. "Peirce gradings of Jordan systems." Proceedings of the American Mathematical Society 130, no. 9 (March 12, 2002): 2543–51. http://dx.doi.org/10.1090/s0002-9939-02-06346-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Ehrig, Michael, and Catharina Stroppel. "Koszul Gradings on Brauer Algebras." International Mathematics Research Notices 2016, no. 13 (September 26, 2015): 3970–4011. http://dx.doi.org/10.1093/imrn/rnv267.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Gordienko, Alexey, and Ofir Schnabel. "On weak equivalences of gradings." Journal of Algebra 501 (May 2018): 435–57. http://dx.doi.org/10.1016/j.jalgebra.2018.01.009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Bahturin, Y. A., and M. V. Zaicev. "Semigroup gradings on associative rings." Advances in Applied Mathematics 37, no. 2 (August 2006): 153–61. http://dx.doi.org/10.1016/j.aam.2005.06.009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Sánchez Ortega, Juana, and Mercedes Siles Molina. "Finite gradings of Lie algebras." Journal of Algebra 372 (December 2012): 161–71. http://dx.doi.org/10.1016/j.jalgebra.2012.09.010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Bahturin, Yuri, and Matej Brešar. "Lie gradings on associative algebras." Journal of Algebra 321, no. 1 (January 2009): 264–83. http://dx.doi.org/10.1016/j.jalgebra.2008.08.032.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Elduque, Alberto. "Gradings on symmetric composition algebras." Journal of Algebra 322, no. 10 (November 2009): 3542–79. http://dx.doi.org/10.1016/j.jalgebra.2009.07.031.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Calderón Martín, Antonio Jesús, Cristina Draper Fontanals, and Cándido Martín González. "Gradings on the Kac superalgebra." Journal of Algebra 324, no. 12 (December 2010): 3249–61. http://dx.doi.org/10.1016/j.jalgebra.2010.09.027.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Bahturin, Yu A., S. K. Sehgal, and M. V. Zaicev. "Group Gradings on Associative Algebras." Journal of Algebra 241, no. 2 (July 2001): 677–98. http://dx.doi.org/10.1006/jabr.2000.8643.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!