Research ArticleNo Access

IC rings and transitivity of perspectivity

Xavier Mary

Laboratoire Modal’X, Université Paris Nanterre, 92000 Nanterre, France

E-mail Address: xavier.mary@parisnanterre.fr

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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/S0219498822501511Cited by:2 (Source: Crossref)

Abstract

We construct an example of an IC ring where perspectivity is transitive, but not all isomorphic idempotents are perspective. We also develop new criteria for checking perspectivity of idempotents in rings.

Communicated by P. Ara

Keywords:

AMSC: 16D70, 16E50, 16U99

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