Open AccessStudy of Von Neumann Abelian Regular Rings
Author(s) -
Md. Asadujjaman,
Sharmin Alam,
Umme Ruman,
Shamima Islam
Publication year - 2021
Publication title -
gub journal of science and engineering
Language(s) - English
Resource type - Journals
ISSN - 2409-0476
DOI - 10.3329/gubjse.v7i0.54013
Subject(s) - abelian group , mathematics , von neumann architecture , pure mathematics , property (philosophy) , von neumann regular ring , discrete mathematics , ring (chemistry) , philosophy , chemistry , organic chemistry , epistemology
This paper is concerned with the basic properties of a class of regular rings of some "classical" type. Abelian regular rings are, however, a more indirect concept, in that a nontrivial theorem is required to show that strongly regular rings are actually regular. For this reason, we view abelianness as the more natural property. We first collect a number of equivalent characterizations of abelian regular rings, before proving that "abelian regular" is equivalent to "strongly regular".
GUB JOURNAL OF SCIENCE AND ENGINEERING, Vol 7, Dec 2020 P 14-20