On weak Rickart modules-Reference-Cited by-同舟云学术

On weak Rickart modules

Published:2016-09-09 Issue:09 Volume:16 Page:1750165
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Keskin Tütüncü Derya¹,Orhan Ertaş Nil²,Tribak Rachid³

Affiliation:

1. Department of Mathematics, Hacettepe University, 06800 Beytepe, Ankara, Turkey

2. Department of Mathematics, Karabük University, 78050 Karabük, Turkey

3. Centre Régional des Métiers de L’Education, et de la Formation (CRMEF)-Tanger, Avenue My Abdelaziz, Souani, B.P.:3117, Tangier 90000, Morocco

Abstract

We introduce and study the notion of w-Rickart modules (i.e. modules [Formula: see text] such that for every nonzero endomorphism [Formula: see text] of [Formula: see text], the kernel of [Formula: see text] is contained in a proper direct summand of [Formula: see text]). We show that the class of right w-Rickart modules lies properly between the class of right [Formula: see text]-nonsingular modules and the class of right Rickart modules. Many properties of w-Rickart modules are established. Some relevant counterexamples are indicated.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498817501651

Reference40 articles.

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