Discussiones Mathematicae General Algebra and Applications 22(2) (2002) 107-117
doi: 10.7151/dmgaa.1050

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ON p-SEMIRINGS

Branka Budimirović, Vjekoslav Budimirović

Higher Technological School
Narodnih Heroja 10, 15000 Sabac, Yugoslavia

Branimir Seselja

Institute of Mathematics, University of Novi Sad
Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia
e-mail: seselja@im.ns.ac.yu

Abstract

A class of semirings, so called p-semirings, characterized by a natural number p is introduced and basic properties are investigated. It is proved that every p-semiring is a union of skew rings. It is proved that for some p-semirings with non-commutative operations, this union contains rings which are commutative and possess an identity. 

Keywords and phrases: semiring, p-semiring, p-semigroup, anti-inverse semigroup, union of rings, skew ring.

2000 AMS Mathematics Subject Classification: Primary 16Y60, Secondary 16S99.

References

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Received 28 January 20002
Revised 7 October 20002