V. N. Bibaeva, E. E. Shirshova, “On linear <nobr>$\mathcal K$</nobr>-ordered rings”, Fundam. Prikl. Mat., 2012, Volume 17, Issue 4,Pages <nobr>13

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On linear $\mathcal K$-ordered rings

V. N. Bibaeva, E. E. Shirshova

Moscow State Pedagogical University

Abstract: 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.

UDC: 512.545