### 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 |
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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 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Indian Journal of Pure and Applied Mathematics*,

*29*(3), 285-287.

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*Indian Journal of Pure and Applied Mathematics*, vol. 29, no. 3, pp. 285-287.

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

Research output: Contribution to journal › Article

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 -