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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 515 - 530 (16page)
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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.
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참고문헌 (26)
참고문헌 신청
B. Davvaz / 2007 / Hyperring Theory and Applications / International Academic Press
B. Davvaz / 2008 / Approximations in n-ary algebraic systems / Soft Computing 12 : 409 ~ 418
B. Davvaz. / 2006 / A realization of hyperrings / Comm. Algebra 34 : 4389 ~ 4400
B. Davvaz. / 2006 / n-ary hypergroups / Iran. J. Sci. Tec., Tran. A 30 : 165 ~ 174
B. Davvaz. / 2009 / A generalization of n-ary algebraic sys-tems / Comm. Algebra 37 : 1248 ~ 1263
B. Davvaz / 2008 / Approximations in n-ary algebraic systems / Soft Computing 12 : 409 ~ 418
B. Davvaz. / 2006 / A realization of hyperrings / Comm. Algebra 34 : 4389 ~ 4400
B. Davvaz. / 2006 / n-ary hypergroups / Iran. J. Sci. Tec., Tran. A 30 : 165 ~ 174
B. Davvaz. / 2009 / A generalization of n-ary algebraic sys-tems / Comm. Algebra 37 : 1248 ~ 1263
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