A characterization of extending generalized triangular matrix rings-Reference-Cited by-同舟云学术

A characterization of extending generalized triangular matrix rings

Published:2020-01-08 Issue:02 Volume:20 Page:2150016
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Mohammadi Rasul¹,Moussavi Ahmad¹,Zahiri Masoome²

Affiliation:

1. Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P. O. Box:14115-134, Tehran, Iran

2. Department of Mathematics, Faculty of Sciences, Higher Education Center of Eghlid, Eghlid, Iran

Abstract

A right module [Formula: see text] is extending if every submodule is essential in a direct summand of [Formula: see text]. In this note, we obtain a characterization of the right extending generalized triangular matrix rings. This answers a question which was raised in “E. Akalan, G. F. Birkenmeier and A. Tercan, Characterizations of extending modules and [Formula: see text]-extending generalized triangular matrix rings, Comm. Algebra 40 (2012) 1069–1085”.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949882150016X

Reference24 articles.

1. Characterizations of Extending and 𝒢-Extending Generalized Triangular Matrix Rings

2. Idempotents and completely semiprime ideals

3. Triangular Matrix Representations

4. Generalized Triangular Matrix Rings and the Fully Invariant Extending Property

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