A Result on E-Direct Systems in N-Groups

Satyanarayana Bhavanari, Syam Prasad Kuncham

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Abstract

Let G be an N-group where N is a zero symmetric right near-ring. We introduced the concept E-direct system in N-groups and proved that for an N-group G, the following conditions are equivalent : (i) G has finite Goldie dimension; (ii) every E-direct system of non-zero ideals of G is bounded above by a non-essential ideal of G.

Original languageEnglish
Pages (from-to)285-287
Number of pages3
JournalIndian Journal of Pure and Applied Mathematics
Volume29
Issue number3
Publication statusPublished - 01-12-1998

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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