On Pure Hyperradical in Semihypergroups

This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. For this purpose, we define pure, semipure, and other related types of hyp...

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2012, Vol.2012 (2012), p.700-706-156
Hauptverfasser: Hila, Kostaq, Naka, Krisanthi
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. For this purpose, we define pure, semipure, and other related types of hyperideals and establish some of their basic properties in semihypergroups.
ISSN:0161-1712
1687-0425
DOI:10.1155/2012/876919