Ideal extensions of Γ-rings

A. J M Snyders, S. Veldsman

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Given Γ-rings N1 and N2, a construction similar to the Everett sum of rings to find all possible extensions of N1 by N2 is given. Unlike the case of rings, it is not possible to find for any Γ-ring M an ideal extension that has a unity. Furthermore, contrary to the ring case, a Γ-ring with unity can not be characterized as a Γ-ring which is a direct summand in every extension thereof.

Original languageEnglish
Pages (from-to)368-392
Number of pages25
JournalJournal of the Australian Mathematical Society
Volume54
Issue number3
DOIs
Publication statusPublished - 1993

ASJC Scopus subject areas

  • Mathematics(all)

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