Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Zurab Janelidze"'
Autor:
Amartya Goswami, Zurab Janelidze
Publikováno v:
Advances in Mathematics. 349:781-812
Abelian categories provide a self-dual axiomatic context for establishing homomorphism theorems (such as the isomorphism theorems and homological diagram lemmas) for abelian groups, and more generally, modules. In this paper we describe a self-dual c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a62a4c6361002ac39a3d0d3b4025328
https://doi.org/10.1016/j.aim.2019.04.019
https://doi.org/10.1016/j.aim.2019.04.019
Autor:
Zurab Janelidze, Pierre-Alain Jacqmin
Publikováno v:
Journal of Algebra, Vol. 583, no.., p. 38-88 (2021)
We study those exactness properties of a regular category C that can be expressed in the following form: for any diagram of a given ‘finite shape’ in C , a given canonical morphism between finite limits built from this diagram is a regular epimor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b1b7bba2fd58e1c6bbb5744752141eb
https://hdl.handle.net/2078.1/246332
https://hdl.handle.net/2078.1/246332
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
For a given variety V of algebras, we define a class relation to be a binary relation R subset of S(2)which is of the form R = S-2 boolean AND K for some congruence class K on A(2), where A is an algebra in V such that S subset of A. In this paper we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b4a3f8b45533a481b4f36a80827c96f
A Dedekind-style axiomatization and the corresponding universal property of an ordinal number system
Autor:
ZURAB JANELIDZE, INEKE VAN DER BERG
In this paper, we give an axiomatization of the ordinal number system, in the style of Dedekind’s axiomatization of the natural number system. The latter is based on a structure $(N,0,s)$ consisting of a set N, a distinguished element $0\in N$ and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7601ef2833bd95d01d2fe8fb5d8bd200
In this paper we study maximal chains in certain lattices constructed from powers of chains by iterated lax colimits in the $2$-category of posets. Such a study is motivated by the fact that in lower dimensions, we get some familiar combinatorial obj
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b82bd187e9c6fc30f6ab60454423bce8
Autor:
Zurab Janelidze, Thomas Weighill
Publikováno v:
Algebra universalis. 77:1-28
Normal categories are pointed categorical counterparts of 0-regular varieties, i.e., varieties where each congruence is uniquely determined by the equivalence class of a fixed constant 0. In this paper, we give a new axiomatic approach to normal cate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b6385ef231e22085980383598023560
https://doi.org/10.1007/s00012-017-0422-7
https://doi.org/10.1007/s00012-017-0422-7
Autor:
Enrico Vitale, Zurab Janelidze
Publikováno v:
Journal of Pure and Applied Algebra. 221:135-143
In this paper we explore the snail lemma in a pointed regular category. In particular, we show that under the presence of cokernels of kernels, the validity of the snail lemma is equivalent to subtractivity of the category. As a corollary, this gives
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4c7d40ff82a0ee1a481aa4a3daa7264
https://doi.org/10.1016/j.jpaa.2016.06.001
https://doi.org/10.1016/j.jpaa.2016.06.001
Autor:
Pierre-Alain Jacqmin, Zurab Janelidze
Publikováno v:
Advances in Mathematics. 377:107484
In this paper we formulate and prove a general theorem of stability of exactness properties under the pro-completion, which unifies several such theorems in the literature and gives many more. The theorem depends on a formal approach to exactness pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ad34c023934ae9dba9b385d0cab94b0
https://doi.org/10.1016/j.aim.2020.107484
https://doi.org/10.1016/j.aim.2020.107484
Autor:
Zurab Janelidze, Amartya Goswami
Publikováno v:
Applied Categorical Structures. 25:1037-1043
A quasi-pointed category in the sense of D. Bourn is a finitely complete category \(\mathcal {C}\) having an initial object such that the unique morphism from the initial object to the terminal object is a monomorphism. When instead this morphism is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cdbb36c5bff8566bc1e1bd0ffc0a0a7
https://doi.org/10.1007/s10485-016-9462-y
https://doi.org/10.1007/s10485-016-9462-y
Autor:
Dominique Bourn, Zurab Janelidze
Publikováno v:
Communications in Algebra. 44:2009-2033
It is well known that the abelianization of a group G can be computed as the cokernel of the diagonal morphism (1G, 1G): G → G × G in the category of groups. We generalize this to arbitrary regular subtractive categories, among which are the categ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d02b56d85e137f274a44f3edf1012e95
https://doi.org/10.1080/00927872.2014.982808
https://doi.org/10.1080/00927872.2014.982808