### 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 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Bhavanari, S., & Kuncham, S. P. (1998). A Result on E-Direct Systems in N-Groups.

*Indian Journal of Pure and Applied Mathematics*,*29*(3), 285-287.