Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Categorical algebra"'
Publikováno v:
Journal of Algebra, Vol. 546, p. 315–340 (2020)
We solve a problem mentioned in an article of Berger and Bourn: we prove that in the context of an algebraically coherent semi-abelian category, two natural definitions of the lower central series coincide. In a first, "standard" approach, nilpotency
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f289c1f670f31b0a44e831be495e873
https://doi.org/10.1016/j.jalgebra.2019.10.049
https://doi.org/10.1016/j.jalgebra.2019.10.049
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
The authors are grateful to George Janelidze for fruitful discussions on the topic of the present paper, and to the referee for several suggestions that helped to improve the final version of the paper. The first author was partially supported by Cen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be5b8ffd8dacebf5b794866c34bff51e
https://doi.org/10.1016/j.jpaa.2019.01.006
https://doi.org/10.1016/j.jpaa.2019.01.006
Autor:
Sandra Mantovani, Andrea Montoli
Publikováno v:
New Perspectives in Algebra, Topology and Categories ISBN: 9783030843182
In these notes, we introduce the reader to the categorical commutator theory (of subobjects), following the formal approach given by Mantovani and Metere in 2010. Such an approach is developed along the lines provided by Higgins, based on the notion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23fb22bf91a4854f98c94180c1720466
https://doi.org/10.1007/978-3-030-84319-9_5
https://doi.org/10.1007/978-3-030-84319-9_5
Publikováno v:
Formal Aspects of Component Software ISBN: 9783030906351
FACS
FACS
Feedback and state are closely interrelated concepts. Categories with feedback, originally proposed by Katis, Sabadini and Walters, are a weakening of the notion of traced monoidal categories, with several pertinent applications in computer science.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fd346505565c4b6b154d79cc569b496
https://doi.org/10.1007/978-3-030-90636-8_4
https://doi.org/10.1007/978-3-030-90636-8_4
Publikováno v:
Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics ISBN: 9783030665449
Mal’tsev categories turned out to be a central concept in categorical algebra. On the one hand, the simplicity and the beauty of the notion is revealed by the wide variety of characterizations of a markedly different flavour. Depending on the conte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9cda5edb9fe3aa87cbc4317cc61344d
https://doi.org/10.1007/978-3-030-66545-6_3
https://doi.org/10.1007/978-3-030-66545-6_3
Autor:
Marino Gran
Publikováno v:
New Perspectives in Algebra, Topology and Categories ISBN: 9783030843182
This paper provides a short introduction to the notion of regular category and its use in categorical algebra. We first prove some of its basic properties, and consider some fundamental algebraic examples. We then ana-lyse the algebraic properties of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41ed871819d6c7fd38184319cf71b306
https://hdl.handle.net/2078.1/231875
https://hdl.handle.net/2078.1/231875
Publikováno v:
LSFA
The concept of computable functions (as developed by Godel, Church, Turing, and Kleene in the 1930's) has been extensively studied, leading to the modern subject of recursive function theory. However recent work by category theorists has led to a mor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdac495ad178035f3fddd8367e4b42d4
https://doi.org/10.1016/j.entcs.2018.10.013
https://doi.org/10.1016/j.entcs.2018.10.013
Akademický článek
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Autor:
David Gepner
Publikováno v:
Handbook of Homotopy Theory ISBN: 9781351251624
This chapter deals with deformations of commutative algebras. Higher algebra is the study of algebraic structures that arise in the setting of higher category theory. Higher algebra generalizes ordinary algebra, or algebra in the setting of ordinary
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4df1f48b1ded5d65068695cde4ea20a
https://doi.org/10.1201/9781351251624-13
https://doi.org/10.1201/9781351251624-13
Autor:
Duvieusart, Arnaud
Categorical Galois Theory was introduced by Janelidze as a way to unify, among others, Magid’s generalization of Galois Theory for commutative rings, coverings of locally connected spaces, and central extensions of groups. He and Kelly then used it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1493::8f1d142a2430714f459282a2be6c0531
https://hdl.handle.net/2078.1/232087
https://hdl.handle.net/2078.1/232087