A Characterization of Weak $n$-Tilting Modules

A Characterization of Weak $n$-Tilting Modules

Year:    2024

Author:    Qianqian Yuan, Hailou Yao

Journal of Mathematical Study, Vol. 57 (2024), Iss. 2 : pp. 149–163

Abstract

It is well known that weak $n$-tilting modules are vital in tilting theory, which are generalizations of $n$-tilting and $n$-cotilting modules. The aim of this paper is to give a new characterization of weak $n$-tilting modules. In order to do that, we introduce the notion of weak $n$-star modules. We study more deeply the properties of them. Moreover, connections between (co) star and weak $n$-star modules are given.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v57n2.24.02

Journal of Mathematical Study, Vol. 57 (2024), Iss. 2 : pp. 149–163

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Weak $n$-star module Weak $n$-tilting module $n$-Quasi-flat module.

Author Details

Qianqian Yuan

Hailou Yao