Star modules with respect to balanced pair
Peiyu Zhang, Dajun Liu, Jiaqun Wei
TL;DR
This paper introduces star modules relative to balanced pairs, explores their properties, and establishes connections with n-X tilting modules, offering a new characterization of these tilting modules.
Contribution
It defines star modules with respect to balanced pairs and links them to n-X tilting modules, providing novel insights and characterizations.
Findings
Relationship between n-X star modules and n-X tilting modules
New characterization of n-X tilting modules
Properties of star modules with respect to balanced pairs
Abstract
n this article, firstly, we introduce the notion of star modules with respect to a balanced pair and obtain some properties. We mainly give the relationship between n-X star modules and n-X tilting modules [9], and a new characterization of n-X tilting modules.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Algebraic structures and combinatorial models