A characterisation of Morita algebras in terms of covers

T Cruz - Algebras and Representation Theory, 2022 - Springer
Abstract A pair (A, P) is called a cover of End A (P) op if the Schur functor Hom A (P,−) is fully
faithful on the full subcategory of projective A-modules, for a given projective A-module P. By …

Stable categories and reconstruction

J Rickard, R Rouquier - arXiv preprint arXiv:1008.1976, 2010 - arxiv.org
This work is an attempt towards a Morita theory for stable equivalences between self-
injective algebras. More precisely, given two self-injective algebras A and B and an …

Morita algebras

O Kerner, K Yamagata - Journal of Algebra, 2013 - Elsevier
Morita algebras Page 1 Journal of Algebra 382 (2013) 185–202 Contents lists available at
SciVerse ScienceDirect Journal of Algebra www.elsevier.com/locate/jalgebra Morita algebras …

Morita equivalence based on contexts for various categories of modules over associative rings

L Marin - Journal of Pure and Applied Algebra, 1998 - Elsevier
In this paper we consider the subcategories CMod-R (M∈ MOD-R st M∼-HomR (R, M)) and
DMod-R (M∈ MOD-R st M⊗ RR∼-R) of the category of all right R-modules, MOD-R, for an …

RSS equivalences over a class of Morita rings

N Gao, J Ma, XY Liu - Journal of Algebra, 2021 - Elsevier
For two bimodules NBA and MAB with M⊗ AN= 0= N⊗ BM, the monomorphism category M
(A, M, N, B) and its dual, the epimorphism E (A, M, N, B), are introduced and studied. By …

Smooth and rough modules over self-induced algebras

R Meyer - arXiv preprint arXiv:0911.3882, 2009 - arxiv.org
A non-unital algebra in a closed monoidal category is called self-induced if the multiplication
induces an isomorphism between A\otimes_A A and A. For such an algebra, we define …

Projective S-posets and hom functor

S Irannezhad, A Madanshekaf - Algebra Colloquium, 2015 - World Scientific
Projective S-Posets and Hom Functor Page 1 Algebra Colloquium c© 2015 AMSS CAS &
SUZHOU UNIV Algebra Colloquium 22 (Spec 1) (2015) 975–984 DOI: 10.1142/S1005386715000814 …

On the Morita equivalence class of a finitely presented algebra

A Alahmadi, H Alsulami… - … Combinatorial Methods in …, 2020 - books.google.com
Let F be a field and let A, B be F-algebras. The algebras A, B are Morita equivalent if their
categories of (left) modules are equivalent. Throughout the paper we consider lent over to …

Relative Serre functor for comodule algebras

K Shimizu - arXiv preprint arXiv:1904.00376, 2019 - arxiv.org
Let $\mathcal {C} $ be a finite tensor category, and let $\mathcal {M} $ be an exact left
$\mathcal {C} $-module category. The relative Serre functor of $\mathcal {M} $ is an …

Morita theory for comodules over corings

G Böhm, J Vercruysse - Communications in Algebra®, 2009 - Taylor & Francis
By a theorem due to Kato and Ohtake, any (not necessarily strict) Morita context induces an
equivalence between appropriate subcategories of the module categories of the two rings in …