Zobrazeno 1 - 10 of 26 pro vyhledávání: '"Andrea Montoli"'
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Akademický článek
On some categorical-algebraic conditions in S-protomodular categories
Autor: Nelson Martins-Ferreira, Andrea Montoli, Manuela Sobral
Publikováno v: Logical Methods in Computer Science, Vol Volume 13, Issue 3 (2017)
In the context of protomodular categories, several additional conditions have been considered in order to obtain a closer group-like behavior. Among them are locally algebraic cartesian closedness and algebraic coherence. The recent notion of S-proto
Externí odkaz: https://doaj.org/article/59afd254ea4841988f5240731202c888
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2
On the categorical behaviour of preordered groups
Autor: Maria Manuel Clementino, Andrea Montoli, Nelson Martins-Ferreira
Publikováno v: Repositório Científico de Acesso Aberto de Portugal
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
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3
Categorical Commutator Theory
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
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5
The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
Autor: Andrea Montoli, Nelson Martins-Ferreira, Manuela Sobral
Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Acknowledgements: We wish to express our gratitude to Alex Patchkoria for pointing out to us the existence of some old literature, of not easy access, related to the subject of this paper. This work was partially supported by the Centre for Mathemati
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b265acfabbbe5c514b592afbd6ca2cbb
https://doi.org/10.1007/s00233-018-9962-1
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6
On the classification of Schreier extensions of monoids with non-abelian kernel
Autor: Andrea Montoli, Alex Patchkoria, Nelson Martins-Ferreira, Manuela Sobral
Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We show that any regular (right) Schreier extension of a monoid M by a monoid A induces an abstract kernel Φ : M → End ⁡ ( A ) Inn ⁡ ( A ) {\Phi\colon M\to\frac{\operatorname{End}(A)}{\operatorname{Inn}(A)}} . If an abstract kernel factors thr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2d36e122c400986a4e42f2ad40eae03
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7
On the categorical behaviour of $V$-groups
Autor: Maria Manuel Clementino, Andrea Montoli
We consider compatible group structures on a V-category, where V is a quantale, and we study the topological and algebraic properties of such groups. Examples of such structures are preordered groups, metric and ultrametric groups, probabilistic (ult
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7de119160bf592ba908c802f4817a166
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8
Intrinsic Schreier split extensions
Autor: Diana Rodelo, Tim Van der Linden, Andrea Montoli
Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Applied Categorical Structures, Vol. 28, no. 3, p. 517-538 (2020)
In the context of regular unital categories we introduce an intrinsic version of the notion of a Schreier split epimorphism, originally considered for monoids. We show that such split epimorphisms satisfy the same homological properties as Schreier s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::513517b0536dbb1ccbf1d4f8a8ec235d
http://arxiv.org/abs/1911.08770
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9
Monoids and pointed $S$-protomodular categories
Autor: Dominique Bourn, Nelson Martins-Ferreira, Manuela Sobral, Andrea Montoli
Publikováno v: Homology, Homotopy and Applications. 18:151-172
We investigate the notion of pointed S-protomodular category, with respect to a suitable class S of split epimorphisms, and we prove that these categories satisfy, relatively to the class S, many partial aspects of the properties of Mal’tsev and pr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::90f64077569244e909fcb03f8710790a
https://doi.org/10.4310/hha.2016.v18.n1.a9
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10
On the 'Smith is Huq' Condition in S-Protomodular Categories
Autor: Nelson Martins-Ferreira, Andrea Montoli
Publikováno v: Applied Categorical Structures. 25:59-75
We study the so-called “Smith is Huq” condition in the context of S-protomodular categories: two S-equivalence relations centralise each other if and only if their associated normal subobjects commute. We prove that this condition is satisfied by
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8a65914e23c9c2269ea1bafb472a5f2e
https://doi.org/10.1007/s10485-015-9411-1
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