On balanced order relations and the normal hull of completely simple semirings

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 1

Abstract

In [1] the authors proved that a semiring S is a completely simple semiring if and only if S is isomorphic to a Rees matrix semiring over a skew-ring R with sandwich matrix P and index sets I and Λ which are bands under multiplication. In this paper we characterize all the balanced order relations on completely simple semirings. Also we study the normal hull of a completely simple semiring. Keywords: skew-ring, Rees matrix semiring, balanced order relation, essential extension, normal extension, normal ideal, normal hull. 2010 Mathematics Subject Classification: 16A78, 20M07, 20M10.

Authors and Affiliations

Sunil Maity

Keywords

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  • EP ID EP165173
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How To Cite

Sunil Maity (2014). On balanced order relations and the normal hull of completely simple semirings. Discussiones Mathematicae - General Algebra and Applications, 34(1), -. https://europub.co.uk/articles/-A-165173