Matrix maps over planar near-rings

Wen Fong Ke, Johan H. Meyer, Gerhard Wendt

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Following a method by Meldrum and van der Walt, near-rings of matrix maps are defined for general near-rings, not necessarily with identity. The influence of one-sided identities is discussed. When the base near-ring is integral and planar, the near-ring of matrix maps is shown to be simple. Various types of primitivity of the near-ring of matrix maps are discussed when the base near-ring is planar but not integral. Finally, an open problem concerning bijective matrix maps is solved.

Original languageEnglish
Pages (from-to)83-99
Number of pages17
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume140
Issue number1
DOIs
Publication statusPublished - 2010 Feb 1

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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