FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 4, PAGES 13-23

On linear $K$-ordered rings

V. N. Bibaeva
E. E. Shirshova

Abstract

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This paper deals with an approach of ordering of rings, which was introduced by V. M. Kopytov for Lie algebras. The conditions of existence of a linear order in rings are found. The properties of ideals of linear ordered rings are investigated.

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Last modified: July 2, 2012