Modulo-constant ideal-hereditary radicals of near-kings

Stefan Veldsman

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

It is known that no “good” radical of (not necessarily o-symmetric) near-rings can be ideal-hereditary. Using the results of the o-symmetric case, we show that the situation is not as bad as on first appearances and we give several examples of (Kurosh-Amitsur) radicals of near-rings for which the semisimple class is hereditary and the radical class is hereditary on left invariant ideals. We also extend some recent results on left strong radicals from the o-symmetric case to the general case. AMS Subject Classification: 16A76.

Original languageEnglish
Pages (from-to)253-278
Number of pages26
JournalQuaestiones Mathematicae
Volume11
Issue number3
DOIs
Publication statusPublished - 1988

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Modulo
Near-ring
Semisimple
Invariant
Class

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

Modulo-constant ideal-hereditary radicals of near-kings. / Veldsman, Stefan.

In: Quaestiones Mathematicae, Vol. 11, No. 3, 1988, p. 253-278.

Research output: Contribution to journalArticle

Veldsman, Stefan. / Modulo-constant ideal-hereditary radicals of near-kings. In: Quaestiones Mathematicae. 1988 ; Vol. 11, No. 3. pp. 253-278.
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