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http://dx.doi.org/10.5666/KMJ.2015.55.3.515

Characterization of Additive (m, n)-Semihyperrings  

MIRAKILI, SAEED (Department of Mathematics, Payame Noor University)
DAVVAZ, BIJAN (Department of Mathematics, Yazd University)
Publication Information
Kyungpook Mathematical Journal / v.55, no.3, 2015 , pp. 515-530 More about this Journal
Abstract
We say that (R, f, g) is an additive (m, n)-semihyperring if R is a non-empty set, f is an m-ary associative hyperoperation, g is an n-ary associative operation and g is distributive with respect to f. In this paper, we describe a number of characterizations of additive (m, n)-semihyperrings which generalize well-known results. Also, we consider distinguished elements, hyperideals, Rees factors and regular relations. Later, we give a natural method to derive the quotient (m, n)-semihyperring.
Keywords
hypergroup; hyperring; additive (m, n)-semihyperring; hyperideal; strongly regular relation;
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