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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 35 - 45 (11page)
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초록· 키워드
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The Γ-semihyperring is a generalization of the concepts of a semiring, a semihyperring and a Γ-semiring. Here, the notions of (strongly) regular Γ-semihyperring, idempotent Γ-emihyperring; invertible set, invertible element in a Γ-semihyperring are introduced, and several examples given. It is proved that if all subsets of Γ-semihyperring are strongly regular then for every Δ⊆ Γ, there is a Δ-idempotent subset of R. Regularity conditions of Γ-semihyperrings in terms of ideals of Γ-semihyperrings are also characterized.
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참고문헌 (18)
참고문헌 신청
R. Ameri / 2007 / On k-hyperideals of semihyperrings / J. Discrete Math. Sci. Cryptogr 10(1):41~54
S. M. Anvariyeh / 2010 / On Γ-hyperideals in Γ-semihypergroups / Carpathian J. Math 26:11~23
W. E. Barenes / 1966 / On the Γ-rings of Nobusawa / Pacific J. Math 18:411~422
P. Corsini / 1993 / Prolegomena of hypergroup theory / Aviani Editore
P. Corsini / 2003 / Applications of hyperstructure theory / Kluwr Academic Publishers
S. M. Anvariyeh / 2010 / On Γ-hyperideals in Γ-semihypergroups / Carpathian J. Math 26:11~23
W. E. Barenes / 1966 / On the Γ-rings of Nobusawa / Pacific J. Math 18:411~422
P. Corsini / 1993 / Prolegomena of hypergroup theory / Aviani Editore
P. Corsini / 2003 / Applications of hyperstructure theory / Kluwr Academic Publishers
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