Matrix and Polynomial Reversibility of Rings

Stefan Veldsman

Research output: Contribution to journalArticle

Abstract

Reversibility of rings is a generalization of commutativity, but more than often, this weaker commutativity is a consequence of the absence of certain zero products. For example, a reversible ring is prime if and only if it is an integral domain, and a ring is reduced if and only if it is reversible and semiprime. Here we define and investigate classes of more restricted reversible rings which fulfill stronger commutative requirements, for example, rings that satisfy ab = 0 = ac + db implies ba = 0 = ca + bd.

Original languageEnglish
Pages (from-to)1571-1582
Number of pages12
JournalCommunications in Algebra
Volume43
Issue number4
DOIs
Publication statusPublished - Apr 3 2015

Keywords

  • Mat-k-reversible ring
  • Mat-reversible
  • Poly-k-reversible ring
  • Poly-reversible
  • Reversible ring
  • Strongly reversible

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'Matrix and Polynomial Reversibility of Rings'. Together they form a unique fingerprint.

  • Cite this