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On Partially Ordered Rings


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Abstract

A new notion of a partial ordering for rings is considered. Properties of arbitrary partially right \( \mathcal{K} \)-ordered rings are investigated. A series of results for linearly right \( \mathcal{K} \)-ordered rings is obtained. Some theorems are proved for ideals of those rings.

About the authors

E. E. Shirshova

Moscow Pedagogical State University

Author for correspondence.
Email: shirshova.elena@gmail.com
Russian Federation, Moscow

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