α-Reflexive Rings with Involution-Reference-Cited by-同舟云学术

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α-Reflexive Rings with Involution

Published:2021-03-31 Issue:1 Volume:36 Page:42-56
ISSN:2617-2186
Container-title:AL-MUKHTAR JOURNAL OF SCIENCES
language:
Short-container-title:MJSc

Author:

Abdulhafed Muna E.,Abduelhafid Aafaf E.

Abstract

This paper studies the concept of the -quasi-*-IFP (resp., -*-reflexive) *-rings, as a generalization of the quasi-*-IFP (resp., *-reflexive) *-rings and every quasi-*-IFP (resp., *-reflexive) *-ring is -quasi-*-IFP (resp., -*-reflexive). This paper also discusses the sufficient condition for the quasi-*-IFP (resp., *-reflexive) *-ring in order to be -quasi-*-IFP (resp., -*- reflexive). Finally, this study investigates the -quasi-*-IFP (resp., -*-reflexivity) by using some types of the polynomial rings.

Publisher

Omar Al-Mukhtar University

Reference14 articles.

1. Abdulhafed, M. E. (2019). A Study of Reflexive and Reversible Rings with Involution (Unpublished Doctoral disserta-tion). Faculty of Science -Alexandria University.

2. Aburawash, U. A. (1997). On Embeding of Involution Rings.pdf. Mathematica Pannonica, 8(2), 245–250.

3. Aburawash, U. A., & Abdulhafed, M. E. (2018a). On reflexive rings with involution. International Journal of Algebra, 12(3), 115–132.

4. Aburawash, U. A., & Abdulhafed, M. E. (2018b). On reversibility of rings with involution. East-West J. of Mathematics, 20(1), 19–36.

5. Aburawash, U. A., & Saad, M. (2014). On Biregular, IFP and Quasi-Baer ∗ -Rings. East-West J. of Mathematics Mathematics, 16(2), 182–192.

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