Kernels of homomorphisms between uniform quasi-injective modules-Reference-Cited by-同舟云学术

Kernels of homomorphisms between uniform quasi-injective modules

Published:2021-05-04 Issue: Volume: Page:2250158
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Koşan M. Tamer¹,Quynh Truong Cong²,Žemlička Jan³

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Gazi University, Ankara, Turkey

2. Department of Mathematics, The University of Danang – University of Science, and Education, 459 Ton Duc Thang, DaNang City, Vietnam

3. Department of Algebra, Charles University, Faculty of Mathematics and Physics, Sokolovská 83, 186 75 Praha 8, Czech Republic

Abstract

In this paper, we study the behavior of endomorphism rings of indecomposable (uniform) quasi-injective modules. A very natural question here is, for a morphism [Formula: see text], with [Formula: see text] indecomposable (uniform) quasi-injective right [Formula: see text]-modules, and [Formula: see text] an extension of [Formula: see text] where [Formula: see text] denotes the injective hull, what is the relation between kernels of [Formula: see text] and [Formula: see text], their monogeny classes and their upper parts?

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498822501584

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