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Symmetries in idempotent factorizations.

Authors :
Khurana, Anjana
Khurana, Dinesh
Nielsen, Pace P.
Source :
Journal of Algebra & Its Applications. May2019, Vol. 18 Issue 5, pN.PAG-N.PAG. 10p.
Publication Year :
2019

Abstract

In analogy to the fact that isomorphic idempotents arise from flipped factorizations, we show that under some weak conditions, partial factorizations of the complement idempotents may also be preserved. Applying these results, we give new characterizations of exchange rings. We also show that the definition of an exchange element is left–right symmetric. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*IDEMPOTENTS
*DEFINITIONS
*SYMMETRY

Details

Language :
English
ISSN :
02194988
Volume :
18
Issue :
5
Database :
Academic Search Index
Journal :
Journal of Algebra & Its Applications
Publication Type :
Academic Journal
Accession number :
136663047
Full Text :
https://doi.org/10.1142/S0219498819500841