Research ArticleNo Access

Symmetries in idempotent factorizations

Anjana Khurana

Department of Mathematics, Panjab University, Chandigarh 160014, India

E-mail Address: anjana@pu.ac.in

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Dinesh Khurana

Department of Mathematics, Panjab University, Chandigarh 160014, India

E-mail Address: dkhurana@pu.ac.in

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, and

Pace P. Nielsen

Department of Mathematics, Brigham Young University, Provo, UT 84602, USA

E-mail Address: pace@math.byu.edu

Corresponding author.

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https://doi.org/10.1142/S0219498819500841Cited by:0 (Source: Crossref)

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.

Communicated by J. L. Gomez Pardo

Keywords:

AMSC: 16U99, 16E50

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