Semiring with Identity

In this paper, we study the properties of semiring with identity ab + a = a and also study the properties of ordered semiring satisfying the identity ab + a = a, for all a, b in S. This paper contains mainly two sections. In section 1, the structure of semirings satisfying the identity ab + a = a, f...

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Veröffentlicht in:International journal of computer applications 2014-01, Vol.88 (17), p.5-7
Hauptverfasser: Lakshmi, C Venkata, Vasanthi, T
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we study the properties of semiring with identity ab + a = a and also study the properties of ordered semiring satisfying the identity ab + a = a, for all a, b in S. This paper contains mainly two sections. In section 1, the structure of semirings satisfying the identity ab + a = a, for all a, b in S are studied. In section 2, we characterize totally ordered semirings satisfying the identity ab + a = a, for all a, b in S.
ISSN:0975-8887
0975-8887
DOI:10.5120/15442-3600