Results 81 to 90 of about 149 (104)
The hyperring of adèle classes
Journal of Number Theory, 2011 TextWe show that the theory of hyperrings, due to M. Krasner, supplies a perfect framework to understand the algebraic structure of the adèle class space HK=AK/K× of a global field K. After promoting F1 to a hyperfield K, we prove that a hyperring of the
Alain Connes, Caterina Consani
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Krasner \(F^{(m,n)}\)-hyperrings.
2014Summary: In this paper, the notion of fuzzy Krasner \((m,n)\)-hyperrings (\(F^{(m,n)}\)-hyperrings) by using the notion of \(F^m\)-hyperoperations and \(F^n\)-operations is introduced and some related properties are investigated. In this regard, relationships between Krasner \(F^{(m,n)}\)-hyperrings and Krasner \((m,n)\)-hyperrings are considered.
Davvaz, B., Farshi, M.
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Soft intersection hyperstructures: Application in Krasner hyperrings
Journal of Intelligent & Fuzzy Systems, 2019In this paper first, we define the notions of left and right soft int-hypergroups and derive some of their basic properties. Second, we study these concepts in the context of complete hypergroups and polygroups. Then, we introduce the notions of left and right soft int-additive hyperrings and soft int-hyperideal. In special case we study these notions
Tahereh Zare +3 more
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Unifing the prime and primary hyperideals under one frame in a Krasner (m, n)-hyperring
Communications in Algebra, 2021exaly