[HTML][HTML] Almost perfect commutative rings

L Fuchs, L Salce - Journal of Pure and Applied Algebra, 2018 - Elsevier
Almost perfect commutative rings R are introduced (as an analogue of Bazzoni and Salce's
almost perfect domains) for rings with divisors of zero: they are defined as orders in …

S-almost semisimple rings

A Bouziri - Revista de la Real Academia de Ciencias Exactas …, 2024 - Springer
The aim of this paper is to characterize multiplicative subsets S and commutative rings R for
which every R-module is strongly flat with respect to S. Commutative rings R for which all R …

Covers and envelopes related to divisibility

L Fuchs - Boletín de la Sociedad Matemática Mexicana, 2023 - Springer
There are several characterizations of rings over which the modules admit certain covers
(like injective, absolutely pure) or envelopes (like flat, torsion-free), not in the usual relation …

A note on Matlis localizations

X Zhang - Communications in Algebra, 2024 - Taylor & Francis
Full article: A note on Matlis localizations Skip to Main Content Taylor and Francis Online
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When weak-injective modules decompose like injectives

L Fuchs - Bollettino dell'Unione Matematica Italiana, 2021 - Springer
The aim of this note is to find those commutative rings over which an exact analogue of the
structure theory of injective modules over commutative noetherian rings holds for weak …

De-noetherizing Cohen-Macaulay rings

L Fuchs, B Olberding - arXiv preprint arXiv:1712.01753, 2017 - arxiv.org
We introduce a new class of commutative {non-noetherian} rings, called $ n $-subperfect
rings, generalizing the almost perfect rings that have been studied recently by Fuchs-Salce …

On a new cotorsion pair.

L Fuchs, SB Lee - Rendiconti del Seminario Matematico …, 2020 - search.ebscohost.com
In cotorsion theories, the cotorsion pairs SF, MC of strongly flat and Matlis-cotorsion
modules, and (F, EC) of flat and Enochs-cotorsion modules play important roles. We …