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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1050,
author = {Branka Budimirovi\'c and Vjekoslav Budimirovi\'c and Branimir \v Se\v selja},
title = {On p-semirings},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {22},
year = {2002},
pages = {107-117},
zbl = {1030.16028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1050}
}
Branka Budimirović; Vjekoslav Budimirović; Branimir Šešelja. On p-semirings. Discussiones Mathematicae - General Algebra and Applications, Tome 22 (2002) pp. 107-117. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1050/
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