Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Souheila Hassoun"'
Publikováno v:
Linear Algebra and its Applications. 650:98-131
Motivated by problems in the neural networks setting, we study moduli spaces of double framed quiver representations and give both a linear algebra description and a representation theoretic description of these moduli spaces. We define a network cat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a0f9460ba6ddfb48d6a3535b82c99d8
https://doi.org/10.1016/j.laa.2022.05.018
https://doi.org/10.1016/j.laa.2022.05.018
Autor:
Souheila Hassoun, Amit Shah
Publikováno v:
Communications in Algebra. 48:5142-5162
It was shown recently that the heart of a twin cotorsion pair ((S,T),(U,V)) on an extriangulated category is semi-abelian. We provide a sufficient condition for the heart to be integral and another for the heart to be quasi-abelian. This unifies and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1cf6288eb5a11c9851c7f627db765ba
https://doi.org/10.1080/00927872.2020.1779737
https://doi.org/10.1080/00927872.2020.1779737
Publikováno v:
Aarhus University
Hassoun, S, Shah, A & Wegner, S-A 2021, ' Examples and non-examples of integral categories and the admissible intersection property ', Cahiers de Topologie et Geometrie Differentielle Categoriques, vol. LXII, no. 3, pp. 329-354 . < http://cahierstgdc.com/wp-content/uploads/2021/07/Hassoun-Shah-Wegner-LXII-3.pdf >
Hassoun, S, Shah, A & Wegner, S-A 2021, ' Examples and non-examples of integral categories and the admissible intersection property ', Cahiers de Topologie et Geometrie Differentielle Categoriques, vol. LXII, no. 3, pp. 329-354 . < http://cahierstgdc.com/wp-content/uploads/2021/07/Hassoun-Shah-Wegner-LXII-3.pdf >
Integral categories form a sub-class of pre-abelian categories whose systematic study was initiated by Rump in 2001. In the first part of this article we determine whether several categories of topological and bornological vector spaces are integral.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7979529a2c209ff8beb8ec3273291f2a
http://arxiv.org/abs/2005.11309
http://arxiv.org/abs/2005.11309
We initiate in this article the study of weakly exact structures, a generalization of Quillen exact structures. We introduce weak counterparts of one-sided exact structures and show that a left and a right weakly exact structure generate a weakly exa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f079fcca944556f2fbdd93fdc1ed22b2
Publikováno v:
Journal of Pure and Applied Algebra. 225:106724
We investigate how the concepts of intersection and sums of subobjects carry to exact categories. We obtain a new characterisation of quasi-abelian categories in terms of admitting admissible intersections in the sense of [23] . There are also many a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48a91c83c8bc85f271db3a2568d508f4
https://doi.org/10.1016/j.jpaa.2021.106724
https://doi.org/10.1016/j.jpaa.2021.106724
Publikováno v:
Journal of Pure and Applied Algebra. 224:106212
Examples of exact categories in representation theory are given by the category of Delta-filtered modules over quasi-hereditary algebras, but also by various categories related to matrix problems, such as poset representations or representations of b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f65770623b0d7940cd2b48ba79d19ef
https://doi.org/10.1016/j.jpaa.2019.106212
https://doi.org/10.1016/j.jpaa.2019.106212