Cotorsion pairs and Hovey triples over trivial ring extensions

L Mao - Communications in Algebra, 2024 - Taylor & Francis
Abstract Let R⋉ M be a trivial extension of a ring R by an RR-bimodule M. We first give some
homological formulas over R⋉ M. Then we investigate how to construct (hereditary …

Weak Silting Modules Over Morita Context Rings

Z Di, G Tang, X Yang - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
Abstract Let Λ (0, 0) be a Morita context ring with zero bimodule homomorphisms. In this
paper, we give sufficient and necessary conditions under which a class of right Λ (0, 0) …

Semidualizing modules and trivial ring extensions

L Mao - Kodai Mathematical Journal, 2024 - jstage.jst.go.jp
SEMIDUALIZING MODULES AND TRIVIAL RING EXTENSIONS Lixin Mao Abstract 1.
Introduction Throughout this paper, R is a commutative a Page 1 L. MAO KODAI MATH. J. 47 …

Torsion pairs and related modules over trivial ring extensions

L Mao - Hacettepe Journal of Mathematics and Statistics - dergipark.org.tr
Let $ R\ltimes M $ be a trivial extension of a ring $ R $ by an $ R $-$ R $-bimodule $ M $.
We first study how to construct torsion pairs over $ R\ltimes M $ from torsion pairs over $ R …