Finite Dimension in Associative Rings

- Journal title : Kyungpook mathematical journal
- Volume 48, Issue 1, 2008, pp.37-43
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2008.48.1.037

Title & Authors

Finite Dimension in Associative Rings

Bhavanari, Satyanarayana; Dasari, Nagaraju; Subramanyam, Balamurugan Kuppareddy; Lungisile, Godloza;

Bhavanari, Satyanarayana; Dasari, Nagaraju; Subramanyam, Balamurugan Kuppareddy; Lungisile, Godloza;

Abstract

The aim of the present paper is to introduce the concept "Finite dimension" in the theory of associative rings R with respect to two sided ideals. We obtain that if R has finite dimension on two sided ideals, then there exist uniform ideals of R whose sum is direct and essential in R. The number n is independent of the choice of the uniform ideals and `n` is called the dimension of R.

Keywords

ring;two sided ideal;essential ideal;uniform ideal;

Language

English

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