
α-Reflexive Rings with Involution
Author(s) -
Muna E. Abdulhafed,
Aafaf E. Abduelhafid
Publication year - 2021
Publication title -
mağallaẗ al-muẖtar li-l-ʿulūm
Language(s) - English
Resource type - Journals
eISSN - 2617-2186
pISSN - 2617-2178
DOI - 10.54172/mjsc.v36i1.22
Subject(s) - reflexivity , mathematics , involution (esoterism) , generalization , pure mathematics , order (exchange) , polynomial ring , combinatorics , polynomial , mathematical analysis , sociology , philosophy , epistemology , business , social science , consciousness , finance
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.