OPERATORS H, S AND P IN THE CLASSES OF p-SEMIGROUPS AND p-SEMIRINGS

Abstract

Vjekoslav Budimirović, Branimir Šešelja Abstract. If p ∈ N , then a p-semigroup, introduced in [3], is a generalization of the notion of an anti-inverse semigroup [2]. A similar notion is a p-semiring. The aim of the paper was to investigate the closeness of classes of these algebras under the operators H (homomorphisms), S (subalgebras) and P (direct products). It is proved that for every p ∈ N each of these classes is closed under H and P . Conditions under which closeness under S also hold are presented. It turns out that for p even or p = 4k + 3 both the class of p-semigroups and the one of p-semirings are varieties. The corresponding identities are presented.

Cite this paper

@inproceedings{Budimirovic2004OPERATORSHS, title={OPERATORS H, S AND P IN THE CLASSES OF p-SEMIGROUPS AND p-SEMIRINGS}, author={Vjekoslav Budimirovic and Branimir Seselja}, year={2004} }