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On Pure Hyperradical in Semihypergroups

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  • Kostaq Hila
  • Krisanthi Naka

Abstract

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.

Suggested Citation

  • Kostaq Hila & Krisanthi Naka, 2012. "On Pure Hyperradical in Semihypergroups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-7, October.
    • Handle: RePEc:hin:jijmms:876919
    DOI: 10.1155/2012/876919
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    References listed on IDEAS

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    1. Davvaz, B. & Poursalavati, N.S., 2000. "Semihypergroups and $S$-hypersystems," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 11(1), pages 43-49.
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