Results 71 to 80 of about 176 (124)
Transitivity of the εm-relation on (m-idempotent) hyperrings
Open Mathematics, 2018 On a general hyperring, there is a fundamental relation, denoted γ*, such that the quotient set is a classical ring. In a previous paper, the authors defined the relation εm on general hyperrings, proving that its transitive closure εm∗$\begin{array}{} \
Norouzi Morteza, Cristea Irina
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NEW FUNDAMENTAL RELATIONS IN HYPERRINGS AND THE CORRESPONDING QUOTIENT STRUCTURES [PDF]
Journal of Algebraic SystemsIn this article, we introduce and analyze the smallest equivalence binary relation $\chi ^{*}$ on a hyperring $R$ such that the quotient $R/\chi ^{*}$, the set of all equivalence classes, is a commutative ring with identity and of ...
Peyman Ghiasvand +2 more
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Fundamental relation on m-idempotent hyperrings
Open Mathematics, 2017 The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called εm∗$\varepsilon^{*}_{m}
Norouzi Morteza, Cristea Irina
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Topologies on a Hyper Sum and Hyper Product of Two Hyper BCK-algebras
European Journal of Pure and Applied Mathematics, 2019 Given a hyper BCK-algebra (H, ∗, 0), each of the families BL(H) = {LH(A) : ∅ 6=A ⊆ H} and BR(H) = {RH(A) : ∅ 6= A ⊆ H} forms a base for some topology on H, where LH(A) = {x ∈ H : x a, ∀a ∈ A} and RH(A) = {x ∈ H : a x, ∀a ∈ A} for any subset A of H. In this paper, we determine the bases of the topologies induced by the hyper sum H1
Rachel Moridas Patangan +1 more
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CoRRWe present hyper-connections, a simple yet effective method that can serve as an alternative to residual connections. This approach specifically addresses common drawbacks observed in residual connection variants, such as the seesaw effect between gradient vanishing and representation collapse.
Defa Zhu +7 more
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Recent results in hyperring and hyperfield theory
International Journal of Mathematics and Mathematical Sciences, 1988 This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the sum of two elements is a subset of the structure.
Anastase Nakassis
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Utility of FET-PET in detecting high-grade gliomas presenting with equivocal MR imaging features. [PDF]
World J Nucl Med, 2019 Puranik AD +10 more
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Fuzzy γ-hyperideals in γ-hypersemirings by using triangular norms. [PDF]
ScientificWorldJournal, 2014 Ersoy BA +3 more
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Roughness in lattice ordered effect algebras. [PDF]
ScientificWorldJournal, 2014 Xin XL, Hua XJ, Zhu X.
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