Download PDF - On p-semirings
ArticleOriginal scientific text
Title
On p-semirings
Authors 1, 1, 2
Affiliations
- Higher Technological School, Narodnih Heroja 10, 15000 Šabac, Yugoslavia
- Institute of Mathematics, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia
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
semiring, p-semiring, p-semigroup, anti-inverse semigroup, union of rings, skew ring
Bibliography
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Pages:
107-117
Main language of publication
English
Received
2002-01-28
Accepted
2002-10-07
Published
2002
DOI: 10.7151/dmgaa.1050
Exact and natural sciences