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Characterization of Additive (m,n)-Semihyperrings

Bijan Davvaz|Saeed Mirvakili
경북대학교 자연과학대학 수학과|2015.09|Kyungpook Mathematical Journal|제55권 제3호|pp. 515-530

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키워드

hyperidealhypergrouphyperringadditive (mn)-semihyperringstrongly regular relation
주제분류수학

초록

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.

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.

참고문헌 (26)

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