Matrix and Polynomial Reversibility of Rings

Stefan Veldsman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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
Issue number4
Publication statusPublished - Apr 3 2015
Externally publishedYes


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

ASJC Scopus subject areas

  • Algebra and Number Theory


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