Mathematicae General Algebra and Applications 22(2) (2002)
|Branka Budimirović, Vjekoslav Budimirović
Higher Technological School
Narodnih Heroja 10, 15000 Sabac, Yugoslavia
Institute of Mathematics, University of Novi Sad
Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia
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,
2000 AMS Mathematics Subject Classification: Primary 16Y60, Secondary 16S99.
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Received 28 January 20002
Revised 7 October 20002