Relevant bibliographies by topics / Categorías abelianas

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Categorías abelianas'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Categorías abelianas.'

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.

Journal articles on the topic "Categorías abelianas"

1

Pop, Flaviu. "Coplexes in abelian categories." Studia Universitatis Babes-Bolyai Matematica 62, no. 1 (March 1, 2017): 3–13. http://dx.doi.org/10.24193/subbmath.2017.0001.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Ebrahimi, Ramin, and Alireza Nasr-Isfahani. "Representation of n-abelian categories in abelian categories." Journal of Algebra 563 (December 2020): 352–75. http://dx.doi.org/10.1016/j.jalgebra.2020.07.010.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

ZHENG, QILIAN, and JIAQUN WEI. "QUOTIENT CATEGORIES OF n-ABELIAN CATEGORIES." Glasgow Mathematical Journal 62, no. 3 (September 30, 2019): 673–705. http://dx.doi.org/10.1017/s0017089519000417.

Full text
Abstract:
AbstractThe notion of mutation pairs of subcategories in an n-abelian category is defined in this paper. Let ${\cal D} \subseteq {\cal Z}$ be subcategories of an n-abelian category ${\cal A}$. Then the quotient category ${\cal Z}/{\cal D}$ carries naturally an (n + 2) -angulated structure whenever $ ({\cal Z},{\cal Z}) $ forms a ${\cal D} \subseteq {\cal Z}$-mutation pair and ${\cal Z}$ is extension-closed. Moreover, we introduce strongly functorially finite subcategories of n-abelian categories and show that the corresponding quotient categories are one-sided (n + 2)-angulated categories. Finally, we study homological finiteness of subcategories in a mutation pair.
APA, Harvard, Vancouver, ISO, and other styles
4

Janelidze, George, László Márki, and Walter Tholen. "Semi-abelian categories." Journal of Pure and Applied Algebra 168, no. 2-3 (March 2002): 367–86. http://dx.doi.org/10.1016/s0022-4049(01)00103-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Lyubashenko, V. "Ribbon Abelian Categories as Modular Categories." Journal of Knot Theory and Its Ramifications 05, no. 03 (June 1996): 311–403. http://dx.doi.org/10.1142/s0218216596000229.

Full text
Abstract:
A category N of labeled (oriented) trivalent graphs (nets) or ribbon graphs is extended by new generators called fusing, braiding, twist and switch with relations which can be called Moore-Seiberg relations. A functor to N is constructed from the category Surf of oriented surfaces with labeled boundary and their homeomorphisms. Given a (eventually non-semisimple) k-linear abelian ribbon braided category [Formula: see text] with some finiteness conditions we construct a functor from a central extension of N with the set of labels [Formula: see text] ObC to k-vector spaces. Composing the functors we get a modular functor from a central extension of Surfto k-vector spaces.
APA, Harvard, Vancouver, ISO, and other styles
6

Gillespie, James. "Hereditary abelian model categories." Bulletin of the London Mathematical Society 48, no. 6 (September 13, 2016): 895–922. http://dx.doi.org/10.1112/blms/bdw051.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Chen, Xiao-Wu, and Henning Krause. "Expansions of abelian categories." Journal of Pure and Applied Algebra 215, no. 12 (December 2011): 2873–83. http://dx.doi.org/10.1016/j.jpaa.2011.04.008.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Kato, Toyonori, and Tamotsu Ikeyama. "Localization in Abelian Categories." Communications in Algebra 18, no. 8 (January 1990): 2519–40. http://dx.doi.org/10.1080/00927879008824036.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Richman, Fred. "Pre-abelian Clan Categories." Rocky Mountain Journal of Mathematics 32, no. 4 (December 2002): 1605–16. http://dx.doi.org/10.1216/rmjm/1181070043.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Zhou, Panyue, and Bin Zhu. "n-Abelian quotient categories." Journal of Algebra 527 (June 2019): 264–79. http://dx.doi.org/10.1016/j.jalgebra.2019.03.007.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Categorías abelianas"

1

González, Férez Juan de la Cruz. "La Categoría de Módulos Firmes." Doctoral thesis, Universidad de Murcia, 2008. http://hdl.handle.net/10803/10962.

Full text
Abstract:
Sea R un anillo asociativo no unitario. Un módulo M se dice firme si es isomorfo de forma canónica al producto tensorial sobre R de R por M. La categoría formada por los módulos firmes es una generalización natural de la categoría de módulos unitarios para anillos unitarios.Una propiedad fundamental y que permanecía como problema abierto era la abelianidad de la categoría de módulos firmes. En la memoria se prueba que en general la categoría no es abeliana, mostrando un ejemplo de anillo asociativo R y de un monomorfismo que no es núcleo de ningún otro morfismo de la categoría. Se realiza un estudio profundo de la categoría de módulos firmes y de multitud de propiedades equivalentes a la abelianidad, así como otras propiedades más débiles y que tampoco se cumplen en general.
Let R a nonunital ring. A module M is set to be firm if it is isomorphic in the canonical way to the tensor product about R of R by M. The category of firm modules generalizes the usual category of unital modules for a unital ring.It was a open problem if the category of firm modules is an abelian category. We prove that, in general, this category is not abelian, and we find a ring and a monomorphism that is not a kernel in this category. The category of firm modules has been estudied in detail. We have deeply analyzed several properties equivalent to be abelian, and some others with weaker restrictions that are not satisfied in general
APA, Harvard, Vancouver, ISO, and other styles
2

Pinto, Tobias Fernando. "Correspondência entre categoria modelo e pares de cotorsão de categorias abelianas e exatas." Universidade Federal de Viçosa, 2017. http://www.locus.ufv.br/handle/123456789/11425.

Full text
Abstract:
Submitted by Marco Antônio de Ramos Chagas (mchagas@ufv.br) on 2017-07-21T16:14:18Z No. of bitstreams: 1 texto completo.pdf: 815357 bytes, checksum: 2a68f912958bd6f8757752e5431c5454 (MD5)
Made available in DSpace on 2017-07-21T16:14:18Z (GMT). No. of bitstreams: 1 texto completo.pdf: 815357 bytes, checksum: 2a68f912958bd6f8757752e5431c5454 (MD5) Previous issue date: 2017-02-23
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Nesta dissertação estudamos principalmente a correspondência entre categoria modelo e pares de cotorsão em categorias abeliana e exata. A correspondência de Hovey para categoria abeliana é adaptada para categoria exata. E isto é possível quando a categoria exata é fracamente idempotente completa. Esta correspondência nos permite encontrar estruturas modelos através de pares de cotorsão. Também estudamos as categorias Grothendieck e exata do tipo Grothendieck que são categorias abeliana e exata, respectivamente, que nos fornecem alguns exemplos de pares de cotorção.
Correspondece between Model Categories and Cotorsion Pairs of Abelian and Exact Category. Adiviser: Sônia Maria Fernandes.. In this dissertation we studied mainly the correspondence between model category and cotorsion pairs in abelian and exact categories. Hovey’s correspondence to abelian category is adapted to exact category. And it is possible when an exact category is weakly idempotent complete. This correspondence allows us to find model structures through cotorsion pairs. Also we study like Grothendieck categories and exact categories of Grothendieck type, which are abelian and exact categories, respectively, which provide us with some examples of cotorsion pairs.
APA, Harvard, Vancouver, ISO, and other styles
3

Pettersson, Samuel. "Additive, abelian, and exact categories." Thesis, Uppsala universitet, Algebra och geometri, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-312384.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Steine, Asgeir Bertelsen. "STABILITY STRUCTURES FOR ABELIAN AND TRIANGULATED CATEGORIES." Thesis, Norwegian University of Science and Technology, Department of Mathematical Sciences, 2007. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9603.

Full text
Abstract:

This thesis is intended to present some developments in the theory of algebraic stability. The main topics are stability for triangulated categories and the distinguished slopes of Hille and de la Pena for quiver representations.

APA, Harvard, Vancouver, ISO, and other styles
5

McBride, Aaron. "Grothendieck Group Decategorifications and Derived Abelian Categories." Thesis, Université d'Ottawa / University of Ottawa, 2015. http://hdl.handle.net/10393/33000.

Full text
Abstract:
The Grothendieck group is an interesting invariant of an exact category. It induces a decategorication from the category of essentially small exact categories (whose morphisms are exact functors) to the category of abelian groups. Similarly, the triangulated Grothendieck group induces a decategorication from the category of essentially small triangulated categories (whose morphisms are triangulated functors) to the category of abelian groups. In the case of an essentially small abelian category, its Grothendieck group and the triangulated Grothendieck group of its bounded derived category are isomorphic as groups via a natural map. Because of this, homological algebra and derived functors become useful in surprising ways. This thesis is an expository work that provides an overview of the theory of Grothendieck groups with respect to these decategorications.
APA, Harvard, Vancouver, ISO, and other styles
6

Abdulwahid, Adnan Hashim. "Cofree objects in the categories of comonoids in certain abelian monoidal categories." Diss., University of Iowa, 2016. https://ir.uiowa.edu/etd/2032.

Full text
Abstract:
We investigate cofree coalgebras, and limits and colimits of coalgebras in some abelian monoidal categories of interest, such as bimodules over a ring, and modules and comodules over a bialgebra or Hopf algebra. We nd concrete generators for the categories of coalgebras in these monoidal categories, and explicitly construct cofree coalgebras, products and limits of coalgebras in each case. This answers an open question in [4] on the existence of a cofree coring, and constructs the cofree (co)module coalgebra on a B-(co)module, for a bialgebra B.
APA, Harvard, Vancouver, ISO, and other styles
7

Ahlsén, Daniel. "Classifying Categories : The Jordan-Hölder and Krull-Schmidt-Remak Theorems for Abelian Categories." Thesis, Uppsala universitet, Algebra och geometri, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-352383.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Shepherd, James A. "Coherent sheaves and deformation theory in abelian categories." Thesis, University of Bristol, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.412375.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Bridge, Philip Owen. "Essentially algebraic theories and localizations in toposes and abelian categories." Thesis, University of Manchester, 2012. https://www.research.manchester.ac.uk/portal/en/theses/essentially-algebraic-theories-and-localizations-in-toposes-and-abelian-categories(2db96543-4a42-49fe-8741-ffa1ff249b12).html.

Full text
Abstract:
The main theme of this thesis is the parallel between results in topos theory and the theory of additive functor categories. In chapter 2, we provide a general overview of the topics used in the rest of the thesis. Locally finitely presentable categories are introduced, and their expression as essentially algebraic categories is explained. The theory of localization for toposes and abelian categories is introduced, and it is shown how these localizations correspond to theories in appropriate logics. In chapter 3, we look at conditions under which the category of modules for a ring object R in a topos E is locally finitely presented, or locally coherent. We show that if E is locally finitely presented, then the category of modules is also; however we show that far stronger conditions are required for the category of modules to be locally coherent. In chapter 4, we show that the Krull-Gabriel dimension of a locally coherent abelian category C is equal to the socle length of the lattice of regular localizations of C. This is used to make an analogous definition of Krull-Gabriel dimension for regular toposes, and the value of this dimension is calculated for the classifying topos of the theory of G-sets, where G is a cyclic group admitting no elements of square order. In chapter 5, we introduce a notion of strong flatness for algebraic categories (in the sense studied by Adamek, Rosickey and Vitale). We show that for a monoid M of finite geometric type, or more generally a small category C with the corresponding condition, the category of M-acts, or more generally the category of set-valued functors on C, has strongly flat covers.
APA, Harvard, Vancouver, ISO, and other styles
10

Goedecke, Julia. "Three viewpoints on semi-abelian homology." Thesis, University of Cambridge, 2009. https://www.repository.cam.ac.uk/handle/1810/224397.

Full text
Abstract:
The main theme of the thesis is to present and compare three different viewpoints on semi-abelian homology, resulting in three ways of defining and calculating homology objects. Any two of these three homology theories coincide whenever they are both defined, but having these different approaches available makes it possible to choose the most appropriate one in any given situation, and their respective strengths complement each other to give powerful homological tools. The oldest viewpoint, which is borrowed from the abelian context where it was introduced by Barr and Beck, is comonadic homology, generating projective simplicial resolutions in a functorial way. This concept only works in monadic semi-abelian categories, such as semi-abelian varieties, including the categories of groups and Lie algebras. Comonadic homology can be viewed not only as a functor in the first entry, giving homology of objects for a particular choice of coefficients, but also as a functor in the second variable, varying the coefficients themselves. As such it has certain universality properties which single it out amongst theories of a similar kind. This is well-known in the setting of abelian categories, but here we extend this result to our semi-abelian context. Fixing the choice of coefficients again, the question naturally arises of how the homology theory depends on the chosen comonad. Again it is well-known in the abelian case that the theory only depends on the projective class which the comonad generates. We extend this to the semi-abelian setting by proving a comparison theorem for simplicial resolutions. This leads to the result that any two projective simplicial resolutions, the definition of which requires slightly more care in the semi-abelian setting, give rise to the same homology. Thus again the homology theory only depends on the projective class. The second viewpoint uses Hopf formulae to define homology, and works in a non-monadic setting; it only requires a semi-abelian category with enough projectives. Even this slightly weaker setting leads to strong results such as a long exact homology sequence, the Everaert sequence, which is a generalised and extended version of the Stallings-Stammbach sequence known for groups. Hopf formulae use projective presentations of objects, and this is closer to the abelian philosophy of using any projective resolution, rather than a special functorial one generated by a comonad. To define higher Hopf formulae for the higher homology objects the use of categorical Galois theory is crucial. This theory allows a choice of Birkhoff subcategory to generate a class of central extensions, which play a big role not only in the definition via Hopf formulae but also in our third viewpoint. This final and new viewpoint we consider is homology via satellites or pointwise Kan extensions. This makes the universal properties of the homology objects apparent, giving a useful new tool in dealing with statements about homology. The driving motivation behind this point of view is the Everaert sequence mentioned above. Janelidze's theory of generalised satellites enables us to use the universal properties of the Everaert sequence to interpret homology as a pointwise Kan extension, or limit. In the first instance, this allows us to calculate homology step by step, and it removes the need for projective objects from the definition. Furthermore, we show that homology is the limit of the diagram consisting of the kernels of all central extensions of a given object, which forges a strong connection between homology and cohomology. When enough projectives are available, we can interpret homology as calculating fixed points of endomorphisms of a given projective presentation.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Categorías abelianas"

1

Borceux, Francis. Mal'cev, protomodular, homological and semi-abelian categories. Dordrecht: Kluwer Academic, 2004.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

1942-, Reiten Idun, and Smalø Sverre O, eds. Tilting in Abelian categories and quasitilted algebras. Providence, R.I: American Mathematical Society, 1996.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Borceux, Francis, and Dominique Bourn. Mal’cev, Protomodular, Homological and Semi-Abelian Categories. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-1962-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Definable additive categories: Purity and model theory. Providence, R.I: American Mathematical Society, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Borceux, Francis. Handbook of categorical algebra 2: Categories and structures. Cambridge [England]: Cambridge University Press, 1994.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Bernstein, Joseph. Equivariant sheaves and functors. Berlin: Springer-Verlag, 1994.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Verdier, Jean Louis. Des catégories dérivées des catégories abéliennes. Paris: Société mathématique de France, 1996.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

1943-, Schapira Pierre, ed. Ind-sheaves. Paris: Société mathématique de France, 2001.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

A non-Hausdorff completion: The Abelian category of C-complete left modules over a topological ring. New Jersey: World Scientific, 2015.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Pantev, Tony. Stacks and catetories in geometry, topology, and algebra: CATS4 Conference Higher Categorical Structures and Their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France. Providence, Rhode Island: American Mathematical Society, 2015.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Categorías abelianas"

1

Holme, Audun. "Abelian Categories." In A Royal Road to Algebraic Geometry, 165–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-19225-8_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Borceux, Francis, and Dominique Bourn. "Semi-abelian categories." In Mal’cev, Protomodular, Homological and Semi-Abelian Categories, 319–43. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-1962-3_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Penner, Robert. "Abelian and Additive Categories." In Lecture Notes in Mathematics, 51–55. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43996-5_10.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Hanratty, Chantelle. "Abelian and Triangulated Categories." In Springer Proceedings in Mathematics & Statistics, 3–16. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91626-2_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Zimmermann, Alexander. "Abelian and Triangulated Categories." In Algebra and Applications, 259–385. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07968-4_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Borceux, Francis, and Dominique Bourn. "Mal’cev categories." In Mal’cev, Protomodular, Homological and Semi-Abelian Categories, 125–228. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-1962-3_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Borceux, Francis, and Dominique Bourn. "Protomodular categories." In Mal’cev, Protomodular, Homological and Semi-Abelian Categories, 229–71. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-1962-3_4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Borceux, Francis, and Dominique Bourn. "Homological categories." In Mal’cev, Protomodular, Homological and Semi-Abelian Categories, 273–317. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-1962-3_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Borceux, Francis, and Dominique Bourn. "Strongly protomodular categories." In Mal’cev, Protomodular, Homological and Semi-Abelian Categories, 345–70. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-1962-3_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Borceux, Francis, and Dominique Bourn. "Essentially affine categories." In Mal’cev, Protomodular, Homological and Semi-Abelian Categories, 371–98. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-1962-3_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Categorías abelianas"

1

Mucuk, Osman, and Serap Demir. "Internal categories in the category of semi abelian algebras." In FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0042238.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Categorías abelianas' for particular source types:
Journal articles Dissertations / Theses Books
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!

To the bibliography