A Result on E-Direct Systems in N-Groups

Satyanarayana Bhavanari, Syam Prasad Kuncham

Research output: Contribution to journalArticle

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

Fingerprint

Near-ring
Zero
Concepts

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

@article{fb6624d469e74efeb7c37a34853f3a3c,
title = "A Result on E-Direct Systems in N-Groups",
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.",
author = "Satyanarayana Bhavanari and Kuncham, {Syam Prasad}",
year = "1998",
month = "12",
day = "1",
language = "English",
volume = "29",
pages = "285--287",
journal = "Indian Journal of Pure and Applied Mathematics",
issn = "0019-5588",
publisher = "Indian National Science Academy",
number = "3",

}

A Result on E-Direct Systems in N-Groups. / Bhavanari, Satyanarayana; Kuncham, Syam Prasad.

In: Indian Journal of Pure and Applied Mathematics, Vol. 29, No. 3, 01.12.1998, p. 285-287.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A Result on E-Direct Systems in N-Groups

AU - Bhavanari, Satyanarayana

AU - Kuncham, Syam Prasad

PY - 1998/12/1

Y1 - 1998/12/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0032376782&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032376782&partnerID=8YFLogxK

M3 - Article

VL - 29

SP - 285

EP - 287

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

SN - 0019-5588

IS - 3

ER -