Log in

Relevant bibliographies by topics / NON COMMUTATIVITY / Journal articles

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

Journal articles on the topic 'NON COMMUTATIVITY'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 April 2023

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 'NON COMMUTATIVITY.'

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

Balibrea, Francisco, Jose Salvador Cánovas Peña, and Víctor Jiménez López. "Commutativity and non-commutativity of topological sequence entropy." Annales de l’institut Fourier 49, no. 5 (1999): 1693–709. http://dx.doi.org/10.5802/aif.1735.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Paban, Sonia, Savdeep Sethi, and Mark Stern. "Non-commutativity and Supersymmetry." Journal of High Energy Physics 2002, no. 03 (March 6, 2002): 012. http://dx.doi.org/10.1088/1126-6708/2002/03/012.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Banerjee, Rabin, Biswajit Chakraborty, and Kuldeep Kumar. "Membrane and non-commutativity." Nuclear Physics B 668, no. 1-2 (September 2003): 179–206. http://dx.doi.org/10.1016/j.nuclphysb.2003.07.009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Fortin, S., M. Gadella, F. Holik, and M. Losada. "Evolution of quantum observables: from non-commutativity to commutativity." Soft Computing 24, no. 14 (December 2, 2019): 10265–76. http://dx.doi.org/10.1007/s00500-019-04546-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Haouam, Ilyas. "The Non-Relativistic Limit of the DKP Equation in Non-Commutative Phase-Space." Symmetry 11, no. 2 (February 14, 2019): 223. http://dx.doi.org/10.3390/sym11020223.

Full text

Abstract:

The non-relativistic limit of the relativistic DKP equation for both of zero and unity spin particles is studied through the canonical transformation known as the Foldy–Wouthuysen transformation, similar to that of the case of the Dirac equation for spin-1/2 particles. By considering only the non-commutativity in phases with a non-interacting fields case leads to the non-commutative Schrödinger equation; thereafter, considering the non-commutativity in phase and space with an external electromagnetic field thus leads to extract a phase-space non-commutative Schrödinger–Pauli equation; there, we examined the effect of the non-commutativity in phase-space on the non-relativistic limit of the DKP equation. However, with both Bopp–Shift linear transformation through the Heisenberg-like commutation relations, and the Moyal–Weyl product, we introduced the non-commutativity in phase and space.

APA, Harvard, Vancouver, ISO, and other styles

6

Liang, Jin, and Chengwei Zhang. "Study on Non-Commutativity Measure of Quantum Discord." Mathematics 7, no. 6 (June 14, 2019): 543. http://dx.doi.org/10.3390/math7060543.

Full text

Abstract:

In this paper, we are concerned with the non-commutativity measure of quantum discord. We first present an explicit expression of the non-commutativity measure of quantum discord in the two-qubit case. Then we compare the geometric quantum discords for two dynamic models with their non-commutativity measure of quantum discords. Furthermore, we show that the results conducted by the non-commutativity measure of quantum discord are different from those conducted by both or one of the Hilbert-Schmidt distance discord and trace distance discord. These intrinsic differences indicate that the non-commutativity measure of quantum discord is incompatible with at least one of the well-known geometric quantum discords in the quantitative and qualitative representation of quantum correlations.

APA, Harvard, Vancouver, ISO, and other styles

7

Chung, Won Sang. "Hall effect on non-commutative plane with space-space non-commutativity and momentum-momentum non-commutativity." Advanced Studies in Theoretical Physics 11 (2017): 357–64. http://dx.doi.org/10.12988/astp.2017.614.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Tweed, Douglas B., Thomas P. Haslwanter, Vera Happe, and Michael Fetter. "Non-commutativity in the brain." Nature 399, no. 6733 (May 1999): 261–63. http://dx.doi.org/10.1038/20441.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Sidharth, B. G. "Non-commutativity, fluctuations and unification." Chaos, Solitons & Fractals 13, no. 9 (July 2002): 1763–66. http://dx.doi.org/10.1016/s0960-0779(01)00188-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Guttenberg, S., M. Herbst, M. Kreuzer, and R. Rashkov. "Non-topological non-commutativity in string theory." Fortschritte der Physik 56, no. 4-5 (April 18, 2008): 440–51. http://dx.doi.org/10.1002/prop.200710517.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Zaim, Slimane, Hakim Guelmamene, and Yazid Delenda. "Negative heat capacity for a Klein–Gordon oscillator in non-commutative complex phase space." International Journal of Geometric Methods in Modern Physics 14, no. 10 (September 13, 2017): 1750141. http://dx.doi.org/10.1142/s0219887817501419.

Full text

Abstract:

We obtain exact solutions to the two-dimensional (2D) Klein–Gordon oscillator in a non-commutative (NC) complex phase space to first order in the non-commutativity parameter. We derive the exact NC energy levels and show that the energy levels split to [Formula: see text] levels. We find that the non-commutativity plays the role of a magnetic field interacting automatically with the spin of a particle induced by the non-commutativity of complex phase space. The effect of the non-commutativity parameter on the thermal properties is discussed. It is found that the dependence of the heat capacity [Formula: see text] on the NC parameter gives rise to a negative quantity. Phenomenologically, this effectively confirms the presence of the effects of self-gravitation induced by the non-commutativity of complex phase space.

APA, Harvard, Vancouver, ISO, and other styles

12

Ōshima, Hideaki, and Nobuaki Yagita. "Non commutativity of self homotopy groups." Kodai Mathematical Journal 24, no. 1 (2001): 15–25. http://dx.doi.org/10.2996/kmj/1106157290.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Seiberg, Nathan, Leonard Susskind, and Nicolaos Toumbas. "Space/time non-commutativity and causality." Journal of High Energy Physics 2000, no. 06 (June 26, 2000): 044. http://dx.doi.org/10.1088/1126-6708/2000/06/044.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Alishahiha, Mohsen, Yaron Oz, and Jorge G. Russo. "Supergravity and light-like non-commutativity." Journal of High Energy Physics 2000, no. 09 (September 1, 2000): 002. http://dx.doi.org/10.1088/1126-6708/2000/09/002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Obregón, O., and R. Santos-Silva. "Non-Commutativity and the Theta Term." Journal of Physics: Conference Series 545 (November 17, 2014): 012011. http://dx.doi.org/10.1088/1742-6596/545/1/012011.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Chaichian, Masud, Dimitri Polyakov, and Anca Tureanu. "Non-commutativity and Ramond–Ramond fields." Physics Letters B 553, no. 3-4 (February 2003): 301–8. http://dx.doi.org/10.1016/s0370-2693(02)03205-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Klaja, Hubert, and Thomas Ransford. "Non-commutativity of the exponential spectrum." Journal of Functional Analysis 272, no. 10 (May 2017): 4158–64. http://dx.doi.org/10.1016/j.jfa.2017.02.017.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Fo[sbreve]ner *, Ajda. "Non-linear commutativity preserving maps onMn." Linear and Multilinear Algebra 53, no. 5 (September 2005): 323–44. http://dx.doi.org/10.1080/03081080500079387.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Chakraborty, Biswajit, Sunandan Gangopadhyay, Arindam Ghosh Hazra, and Frederik G. Scholtz. "Non(anti)commutativity for open superstrings." Physics Letters B 625, no. 3-4 (October 2005): 302–12. http://dx.doi.org/10.1016/j.physletb.2005.08.078.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

De Filippis, Vincenzo, and Nadeem ur Rehman. "Commutativity and Skew-commutativity Conditions with Generalized Derivations." Algebra Colloquium 17, spec01 (December 2010): 841–50. http://dx.doi.org/10.1142/s1005386710000787.

Full text

Abstract:

Let R be a prime ring of characteristic different from 2 with extended centroid C. Let F be a generalized derivation of R, L a non-central Lie ideal of R, f(x1, …, xn) a polynomial over C and f(R)={f(r1, …, rn): ri ∈ R}. We study the following cases: (1) [F(u), F(v)]k=0 for all u, v ∈ L, where k ≥ 1 is a fixed integer; (2) [F(u), F(v)] = 0 for all u, v ∈ f(R); (3) F(u) ◦ F(v)=0 for all u, v ∈ f(R); (4) F(u) ◦ F(v)=u ◦ v for all u, v ∈ f(R). We obtain a description of the structure of R and information on the form of F.

APA, Harvard, Vancouver, ISO, and other styles

21

Bekli, Mohamed Reda, Ilhem Chadou, and Noureddine Mebarki. "Bounds on the scale of noncommutativity from mono photon production in ATLAS Runs -1 and -2 experiments at LHC energies." International Journal of Geometric Methods in Modern Physics 18, no. 08 (May 12, 2021): 2150126. http://dx.doi.org/10.1142/s0219887821501267.

Full text

Abstract:

Leading order study of direct photon production from proton–proton collisions, in the framework of Minimal (Seiberg–Witten) Non-Commutative Standard Model (NCSM), taking into account the Earth-rotation effects. We found that relative non-commutative contributions increase significantly at very high photon transverse momentum. Therefore, using Run-1 ([Formula: see text] TeV) and Run-2 ([Formula: see text] TeV) ATLAS experimental data of inclusive isolated prompt photon cross-section, TeV-Scale bounds of the non-commutativity (NC) parameter are obtained. For space-space non-commutativity, we obtain: [Formula: see text][Formula: see text]TeV, and for space-time non-commutativity, we obtain : [Formula: see text][Formula: see text]TeV.

APA, Harvard, Vancouver, ISO, and other styles

22

Ahmadidelir, K., C. M. Campbell, and H. Doostie. "Almost Commutative Semigroups." Algebra Colloquium 18, spec01 (December 2011): 881–88. http://dx.doi.org/10.1142/s1005386711000769.

Full text

Abstract:

The commutativity degree of groups and rings has been studied by certain authors since 1973, and the main result obtained is [Formula: see text], where Pr (A) is the commutativity degree of a non-abelian group (or ring) A. Verifying this inequality for an arbitrary semigroup A is a natural question, and in this paper, by presenting an infinite class of finite non-commutative semigroups, we prove that the commutativity degree may be arbitrarily close to 1. We name this class of semigroups the almost commutative or approximately abelian semigroups.

APA, Harvard, Vancouver, ISO, and other styles

23

D'ALESSANDRO, FLAVIO, and ALESSANDRO D'ANDREA. "A NON-COMMUTATIVITY STATEMENT FOR ALGEBRAIC QUATERNIONS." International Journal of Algebra and Computation 16, no. 03 (June 2006): 583–602. http://dx.doi.org/10.1142/s0218196706003098.

Full text

Abstract:

We prove a constructive version of Tits' alternative for groups of quaternions with algebraic coefficients by bounding valuations of their entries considered as elements of a fraction field of an opportunely chosen Dedekind domain.

APA, Harvard, Vancouver, ISO, and other styles

24

Li, Miao, Yi Pang, and Yi Wang. "Non-commutativity, teleology and GRB time delay." Physics Letters B 682, no. 4-5 (January 2010): 334–36. http://dx.doi.org/10.1016/j.physletb.2009.11.032.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Dolan, Louise, and Chiara R. Nappi. "Non-commutativity in a time-dependent background." Physics Letters B 551, no. 3-4 (January 2003): 369–77. http://dx.doi.org/10.1016/s0370-2693(02)03076-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Komatsu, Hiroaki, and Hisao Tominaga. "On Non-Commutative Algebras and Commutativity Conditions." Results in Mathematics 18, no. 1-2 (August 1990): 74–92. http://dx.doi.org/10.1007/bf03323156.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Das, Saurya, and Jack Gegenberg. "Gravitational non-commutativity and Gödel-like spacetimes." General Relativity and Gravitation 40, no. 10 (February 16, 2008): 2115–29. http://dx.doi.org/10.1007/s10714-008-0619-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Awtar, Ram. "On the commutativity of non-associative rings." Publicationes Mathematicae Debrecen 22, no. 3-4 (July 1, 2022): 177–88. http://dx.doi.org/10.5486/pmd.1975.22.3-4.01.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

TOLUE, B., and A. ERFANIAN. "RELATIVE NON-COMMUTING GRAPH OF A FINITE GROUP." Journal of Algebra and Its Applications 12, no. 02 (December 16, 2012): 1250157. http://dx.doi.org/10.1142/s0219498812501575.

Full text

Abstract:

The essence of the non-commuting graph remind us to find a connection between this graph and the commutativity degree as denoted by d(G). On the other hand, d(H, G) the relative commutativity degree, was the key to generalize the non-commuting graph ΓG to the relative non-commuting graph (denoted by ΓH, G) for a non-abelian group G and a subgroup H of G. In this paper, we give some results about ΓH, G which are mostly new. Furthermore, we prove that if (H1, G1) and (H2, G2) are relative isoclinic then ΓH1, G1 ≅ Γ H2, G2 under special conditions.

APA, Harvard, Vancouver, ISO, and other styles

30

Hashimoto, Akikazu. "Dualities, Twists, and Gauge Theories with Non-Constant Non-Commutativity." Journal of High Energy Physics 2005, no. 01 (January 19, 2005): 033. http://dx.doi.org/10.1088/1126-6708/2005/01/033.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Magnus, Robert J. "A singular perturbation problem and the existence of non-commutative non-rotationally symmetric scalar solitons." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 133, no. 1 (February 2003): 151–56. http://dx.doi.org/10.1017/s0308210500002328.

Full text

Abstract:

The existence of solitons in non-commutative scalar field theories is proved for large values of the non-commutativity parameter using functional analysis. In the case of even phase-space dimensions greater than or equal to four, the solitons include some that are not rotationally symmetric.

APA, Harvard, Vancouver, ISO, and other styles

32

Cuzinatto, Rodrigo Rocha, Marc de Montigny, and Pedro José Pompeia. "Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: I. Klein–Gordon oscillator." Classical and Quantum Gravity 39, no. 7 (March 2, 2022): 075006. http://dx.doi.org/10.1088/1361-6382/ac51bb.

Full text

Abstract:

Abstract We analyse the Klein–Gordon oscillator in a cosmic string space-time and study the effects stemming from the rotating frame and non-commutativity in momentum space. We show that the latter mimics a constant magnetic field, imparting physical interpretation to the setup. The field equation for the scalar field is solved via separations of variables, and we obtain quantization of energy and angular momentum. The space-time metric is non-degenerate as long as the particle is confined within a hard-wall, whose position depends on the rotation frame velocity and the string mass parameter. We investigate the energy quantization both for a finite hard-wall (numerical evaluation) and in the limit of an infinite hard-wall (analytical treatment). We stress the effect of non-commutativity upon the energy quantization in each case.

APA, Harvard, Vancouver, ISO, and other styles

33

GREZIA, ELISABETTA DI, and GIAMPIERO ESPOSITO. "NON-COMMUTATIVE KERR BLACK HOLE." International Journal of Geometric Methods in Modern Physics 08, no. 03 (May 2011): 657–68. http://dx.doi.org/10.1142/s0219887811005324.

Full text

Abstract:

This paper applies the first-order Seiberg–Witten map to evaluate the first-order non-commutative Kerr tetrad. The classical tetrad is taken to follow the locally non-rotating frame prescription. We also evaluate the tiny effect of non-commutativity on the efficiency of the Penrose process of rotational energy extraction from a black hole.

APA, Harvard, Vancouver, ISO, and other styles

34

SIDHARTH, B. G. "A NOTE ON NON-COMMUTATIVITY AND MASS GENERATION." International Journal of Modern Physics E 14, no. 06 (September 2005): 923–25. http://dx.doi.org/10.1142/s0218301305003582.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Giri, Pulak Ranjan. "Non-commutativity as a measure of inequivalent quantization." Journal of Physics A: Mathematical and Theoretical 42, no. 35 (August 12, 2009): 355206. http://dx.doi.org/10.1088/1751-8113/42/35/355206.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Kar, Supriya. "Non-commutativity, zero modes and D-brane geometry." Nuclear Physics B 577, no. 1-2 (June 2000): 171–82. http://dx.doi.org/10.1016/s0550-3213(00)00122-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Ijavi, Mostafa. "New Parameters of Non-commutativity in Quantum Mechanics." Iranian Journal of Science and Technology, Transactions A: Science 44, no. 4 (June 15, 2020): 1143–52. http://dx.doi.org/10.1007/s40995-020-00902-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Maceda, M., J. Madore, P. Manousselis, and G. Zoupanos. "Can non-commutativity resolve the big-bang singularity?" European Physical Journal C 36, no. 4 (August 2004): 529–34. http://dx.doi.org/10.1140/epjc/s2004-01968-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Davidovic, Ljubica, Bojan Nikolic, and Branislav Sazdovic. "Canonical approach to the closed string non-commutativity." Facta universitatis - series: Physics, Chemistry and Technology 12, no. 2 (2014): 101–10. http://dx.doi.org/10.2298/fupct1402101d.

Full text

Abstract:

We consider the propagation of the closed bosonic string in the weakly curved background. We show that the closed string non-commutativity is essentially connected to the T-duality and nontrivial background. From the T-duality transformation laws, connecting the canonical variables of the original and T-dual theory, we find the structure of the Poisson brackets in the T-dual space corresponding to the fundamental Poisson brackets in the original theory. We find that the commutative original theory is equivalent to the non-commutative T-dual theory, in which Poisson brackets close on winding and momenta numbers and the coefficients are proportional to the background fluxes.

APA, Harvard, Vancouver, ISO, and other styles

40

Ghoderao, Pulkit S., Rajiv V. Gavai, and P. Ramadevi. "Probing the scale of non-commutativity of space." Modern Physics Letters A 34, no. 24 (August 8, 2019): 1950191. http://dx.doi.org/10.1142/s0217732319501918.

Full text

Abstract:

Examining composite operators in non-commutative (NC) spaces, we show that these operators do not have a simple gauge transformation which can be attributed to the effective total charge of the composite particle. Using this result, along with the known constraint on charges permitted in NC quantum electrodynamics, we place a limit on the scale of non-commutativity to be at most smaller than current LHC limits for compositeness. Furthermore, this also suggests that a substructure at still smaller scales is necessary if such spaces are to be a physical reality.

APA, Harvard, Vancouver, ISO, and other styles

41

Balachandran, A. P., T. R. Govindarajan, A. G. Martins, C. Molina, and P. Teotonio-Sobrinho. "Unitary quantum physics with time-space non-commutativity." Journal of Physics: Conference Series 24 (January 1, 2005): 179–202. http://dx.doi.org/10.1088/1742-6596/24/1/022.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Compeán, Hugo García, Octavio Obregón, C. Ramírez, and Miguel Sabido. "Non-commutativity in gravity, topological gravity and cosmology." Journal of Physics: Conference Series 24 (January 1, 2005): 203–12. http://dx.doi.org/10.1088/1742-6596/24/1/023.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Scholtz, Frederik G., Biswajit Chakraborty, Sunandan Gangopadhyay, and Jan Govaerts. "Interactions and non-commutativity in quantum Hall systems." Journal of Physics A: Mathematical and General 38, no. 45 (October 26, 2005): 9849–58. http://dx.doi.org/10.1088/0305-4470/38/45/008.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Fošner, Ajda. "Non-linear commutativity preserving maps on symmetric matrices." Publicationes Mathematicae Debrecen 71, no. 3-4 (October 1, 2007): 375–96. http://dx.doi.org/10.5486/pmd.2007.3738.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

GUZMÁN, W., C. ORTIZ, M. SABIDO, J. SOCORRO, and MAXIMO A. AGÜERO. "NON-COMMUTATIVE BIANCHI QUANTUM COSMOLOGY." International Journal of Modern Physics D 16, no. 10 (October 2007): 1625–32. http://dx.doi.org/10.1142/s0218271807011012.

Full text

Abstract:

Introducing non-commutative variables in the minisuperspace, we obtain the non-commutative quantum solutions to the Wheeler–DeWitt equation with an arbitrary factor ordering, for the anisotropic Bianchi type I cosmological model, coupled to barotropic matter and cosmological term Λ. From the probability density, the inclusion of non-commutativity seems to retard the isotropization of the universe.

APA, Harvard, Vancouver, ISO, and other styles

46

Saidi, Abdelali, and Moulay Brahim Sedra. "Spin-one (1 + 3)-dimensional DKP equation with modified Kratzer potential in the non-commutative space." Modern Physics Letters A 35, no. 05 (October 23, 2019): 2050014. http://dx.doi.org/10.1142/s0217732320500145.

Full text

Abstract:

In this paper, the spin-one Duffin–Kemmer–Petiau equation in (1 + 3) dimensions with a modified Kratzer potential is considered in the non-commutative space framework. The energy eigenvalue equation and the corresponding eigenfunctions are derived analytically. Furthermore, the energy shift due to the space non-commutativity effect is also obtained using the perturbation theory. In particular, it is shown that the degeneracy of the initial spectral line is broken, where the space non-commutativity plays the role of a magnetic field. This behavior is very similar to the Zeeman effect.

APA, Harvard, Vancouver, ISO, and other styles

47

Misso, Paola. "Commutativity conditions on rings." Bulletin of the Australian Mathematical Society 44, no. 1 (August 1991): 45–47. http://dx.doi.org/10.1017/s0004972700029440.

Full text

Abstract:

We prove the following result: let R be an arbitrary ring with centre Z such that for every x, y ∈ R, there exists a positive integer n = n(x, y) ≥ 1 such that (xy)n − ynxn ∈ Z and (yx)n − xnyn ∈ Z; then, if R has no non-zero nil ideals, R is commutative. We also prove a result on commutativity of general rings: if R is r!-torsion free and for all x, y ∈ R, [xr, ys] = 0 for fixed integers r ≥ s ≥ 1, then R is commutative. As a corollary we obtain that if R is (n + 1)!-torsion free and there exists a fixed n ≥ 1 such that (xy)n − ynxn = (yx)n − xnyn ∈ Z for all x, y ∈ R, then R is commutative.

APA, Harvard, Vancouver, ISO, and other styles

48

Abujabal, H. A. S., and M. A. Khan. "Commutativity for a Certain Class of Rings." gmj 5, no. 4 (August 1998): 301–14. http://dx.doi.org/10.1515/gmj.1998.301.

Full text

Abstract:

Abstract We first establish the commutativity for the semiprime ring satisfying [xn, y]xr = ±ys [x, ym ]yt for all x, y in R, where m, n, r, s and t are fixed non-negative integers, and further, we investigate the commutativity of rings with unity under some additional hypotheses. Moreover, it is also shown that the above result is true for s-unital rings. Also, we provide some counterexamples which show that the hypotheses of our theorems are not altogether superfluous. The results of this paper generalize some of the well-known commutativity theorems for rings which are right s-unital.

APA, Harvard, Vancouver, ISO, and other styles

49

Komatsu, Hiroaki, Tsunekazu Nishinaka, and Hisao Tominaga. "A commutativity theorem for rings." Bulletin of the Australian Mathematical Society 44, no. 3 (December 1991): 387–89. http://dx.doi.org/10.1017/s0004972700029889.

Full text

Abstract:

We prove the following theorem: Let R be a ring, l a positive integer, and n a non-negative integer. If for each x, y ∈ R, either xy = yx or xy = xn f(y)x1 for some f(X) ∈ X2Z[X], then R is commutative.

APA, Harvard, Vancouver, ISO, and other styles

50

Freidel, Laurent, Robert G. Leigh, and Djordje Minic. "Manifest non-locality in quantum mechanics, quantum field theory and quantum gravity." International Journal of Modern Physics A 34, no. 28 (October 10, 2019): 1941004. http://dx.doi.org/10.1142/s0217751x19410045.

Full text

Abstract:

We summarize our recent work on the foundational aspects of string theory as a quantum theory of gravity. We emphasize the hidden quantum geometry (modular spacetime) behind the generic representation of quantum theory and then stress that the same geometric structure underlies a manifestly T-duality covariant formulation of string theory, that we call metastring theory. We also discuss an effective non-commutative description of closed strings implied by intrinsic non-commutativity of closed string theory. This fundamental non-commutativity is explicit in the metastring formulation of quantum gravity. Finally we comment on the new concept of metaparticles inherent to such an effective non-commutative description in terms of bi-local quantum fields.

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!