Some properties of hyperring

Journal Title: International Research Journal of Applied and Basic Sciences - Year 2013, Vol 4, Issue 8

Abstract

In this paper, some properties of intersection, union, sum and product hyperring are discussed. Generally, intersection family of hyperideals of a hyperring is hyperideal, but, union family of hyperideals of a hyperring is not hyperideal. Also the property is hyperideal in the subhyperrings of a hyperring, with no transition. We give condition such that this property is true.

Authors and Affiliations

Esmail Ranjbar-Yanehsari *| Department of Mathematics, Gorgan Branch,Islamic Azad University, Gorgan, Iran. es_ranjbar@yahoo.com, Mohsen Asghari-Larimi| Department of Mathematics, University of Golestan, Gorgan, Iran.

Keywords

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  • EP ID EP5624
  • DOI -
  • Views 309
  • Downloads 13

How To Cite

Esmail Ranjbar-Yanehsari *, Mohsen Asghari-Larimi (2013). Some properties of hyperring. International Research Journal of Applied and Basic Sciences, 4(8), 2375-2380. https://europub.co.uk/articles/-A-5624