CHARACTERIZATION OF IDEMPOTENCY IN POWER-ASSOCIATIVE RINGS

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads :

Volume : 13 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2025.1301.5
Author :
M. Aristidou (American University of Cyprus, Larnaca, CYPRUS)
G. Chailos (Department of Computer Science, University of Nicosia, CYPRUS)

Abstract

In this paper, we extend Mosic's result for idempotency in associative rings to power-associative rings. We provide a necessary and sufficient condition for idempotency and give some examples.

Keywords and Phrases

Ring, power-associative, idempotent.

A.M.S. subject classification

Primary 17A01, 17C27, Secondary 20H25, 15A30.

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