Matrix near-rings and 0-primitivity

Wen-Fong Ke, J. H. Meyer

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this article, we study the implication of the primitivity of a matrix near-ring M n (R) (n > 1) and that of the underlying base near-ring R. We show that when R is a zero-symmetric near-ring with identity and M n(R)has the descending chain condition on M n(R)-subgroups, then the 0-primitivity of M n(R)implies the 0-primitivity of R. It is not known if this is true when the descending chain condition on M n(R)is removed. On the other hand, an example is given to show that this is not true in the case of generalized matrix near-rings.

Original languageEnglish
Pages (from-to)353-363
Number of pages11
JournalMonatshefte fur Mathematik
Volume165
Issue number3-4
DOIs
Publication statusPublished - 2012 Mar 1

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Near-ring
Chain Condition
Subgroup
Imply
Zero

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Ke, Wen-Fong ; Meyer, J. H. / Matrix near-rings and 0-primitivity. In: Monatshefte fur Mathematik. 2012 ; Vol. 165, No. 3-4. pp. 353-363.
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Matrix near-rings and 0-primitivity. / Ke, Wen-Fong; Meyer, J. H.

In: Monatshefte fur Mathematik, Vol. 165, No. 3-4, 01.03.2012, p. 353-363.

Research output: Contribution to journalArticle

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