A Result on E-Direct Systems in N-Groups

Satyanarayana Bhavanari; Syam Prasad Kuncham

A Result on E-Direct Systems in N-Groups

Satyanarayana Bhavanari, Syam Prasad Kuncham

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Pages (from-to)	285-287
Number of pages	3
Journal	Indian Journal of Pure and Applied Mathematics
Volume	29
Issue number	3
Publication status	Published - 01-12-1998

All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

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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.",

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AB - 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.

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A Result on E-Direct Systems in N-Groups

Abstract

All Science Journal Classification (ASJC) codes

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