The basic ring of a locally Artinian commutative Grothendieck category
C Riccardo, G Enrico, O Adalberto - Communications in Algebra, 1991 - Taylor & Francis
In the paper [MO], C. Menini and A. Orsatti introduced the notion of basic rzng of a locally
artinian Grothendieck category C. The basic ring of C is a right strictly linearly compact ring …
artinian Grothendieck category C. The basic ring of C is a right strictly linearly compact ring …
Cubical -categories
M Lucas - arXiv preprint arXiv:1612.07050, 2016 - arxiv.org
In this article we introduce the notion of cubical $(\omega, p) $-categories, for $ p\in\mathbb
N\cup\{\omega\} $. We show that the equivalence between globular and groupoid $\omega …
N\cup\{\omega\} $. We show that the equivalence between globular and groupoid $\omega …
[PDF][PDF] On projectivity in locally presentable categories
J Rosický - Journal of Algebra, 2004 - core.ac.uk
On projectivity in locally presentable categories Page 1 Journal of Algebra 272 (2004) 701–710
www.elsevier.com/locate/jalgebra On projectivity in locally presentable categories J …
www.elsevier.com/locate/jalgebra On projectivity in locally presentable categories J …
A remark on left pseudo-artinian rings
G D'Este, C Menini - Abelian Groups and Modules: Proceedings of the …, 1984 - Springer
Abstract Problem 2 of [2] asks whether or not any left pseudo-artinian ring is also a strongly
left pseudo-artinian ring. Let us recall that a ring R is called left pseudo-artinian (resp …
left pseudo-artinian ring. Let us recall that a ring R is called left pseudo-artinian (resp …
[HTML][HTML] Thick subcategories of discrete derived categories
NT Broomhead - Advances in Mathematics, 2018 - Elsevier
We classify the thick subcategories of discrete derived categories. To do this we introduce
certain generating sets called ES-collections which correspond to configurations of non …
certain generating sets called ES-collections which correspond to configurations of non …
[PDF][PDF] Additive categories of locally finite representation type
NV Dung, JL Garcı́a - Journal of Algebra, 2001 - core.ac.uk
Ž. We recall that a ring R with identity is said to be of finite representation type if it is right
artinian and has only finitely many isomorphism Ž. Ž classes of finitely generated …
artinian and has only finitely many isomorphism Ž. Ž classes of finitely generated …
On the abelianization of derived categories and a negative solution to Rosický's problem
S Bazzoni, J Šťovíček - Compositio Mathematica, 2013 - cambridge.org
We prove for a large family of rings R that their λ-pure global dimension is greater than one
for each infinite regular cardinal λ. This answers in the negative a problem posed by …
for each infinite regular cardinal λ. This answers in the negative a problem posed by …
Projective Covers of 2-star-permutable Categories
V Aravantinos-Sotiropoulos - arXiv preprint arXiv:1910.13735, 2019 - arxiv.org
We introduce the notion of star-symmetry for relations in a multi-pointed category and use it
to obtain a characterization of the projective covers of 2-star-permutable categories. This …
to obtain a characterization of the projective covers of 2-star-permutable categories. This …
Categories with dependent arrows
I Petrakis - arXiv preprint arXiv:2303.14754, 2023 - arxiv.org
We present an abstract, categorical formulation of dependent functions in a fundamental
manner and independently from the Sigma-construction. For that, we define first the notion of …
manner and independently from the Sigma-construction. For that, we define first the notion of …