Results 71 to 80 of about 347 (187)
Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets
Journal of Mathematics, Volume 2024, Issue 1, 2024.The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah +2 more
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CLIFFORD SEMIRINGS AND GENERALIZED CLIFFORD SEMIRINGS
Taiwanese Journal of Mathematics, 2005 It is well known that a semigroup $S$ is a Clifford semigroup if and only if $S$ is a strong semilattice of groups. In this paper, we extend this important result from semigroups to semirings by showing that a semiring $S$ is a Clifford semiring if and only if $S$ is a strong distributive lattice of skew-rings.
Sen, M. K., Maity, S. K., Shum, K. P.
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A DBMS-Independent Approach for Capturing Provenance Polynomials Through Query Rewriting
IEEE AccessData provenance provides fine-grained information about the origin and derivation of query results, directly supporting traceability, transparency, explainability and reproducibility in modern data-intensive environments.
Paulo Pintor +2 more
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On Decompositions of Matrices over Distributive Lattices
Journal of Applied Mathematics, 2014 Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q (n × n, resp.) matrices over L. In this paper, we show that if there is a subdirect embedding from distributive lattice L to the direct product ∏i=1mLi ...
Yizhi Chen, Xianzhong Zhao
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Semigroup of k-bi-Ideals of a Semiring with Semilattice Additive Reduct
Demonstratio Mathematica, 2016 We associate a semigroup B(S) to every semiring S with semilattice additive reduct, namely the semigroup of all k-bi-ideals of S; and such semirings S have been characterized by this associated semigroup B(S). A semiring S is k-regular if and only if B(S)
Bhuniya A. K., Jana K.
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INTERVAL-VALUED INTUITIONISTIC FUZZY BI-IDEALS IN TERNARY SEMIRINGS [PDF]
Romanian Journal of Mathematics and Computer Science, 2016 In this paper we introduce the notions of interval-valued fuzzy bi-ideal, interval-valued anti fuzzy bi-ideal and interval-valued intuitionistic fuzzy bi-ideal in ternary semirings and some of the basic properties of these ideals are investigated.
D. KRISHNASWAMY, J. JAYARAJ, T. ANITHA
doaj
Journal of Pure and Applied Algebra, 2018 We develop notions of valuations on a semiring, with a view toward extending the classical theory of abstract nonsingular curves and discrete valuation rings to this general algebraic setting; the novelty of our approach lies in the implementation of hyperrings to yield a new definition (\emph{hyperfield valuation}).
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Embedding semirings in semirings with multiplicative unit [PDF]
Journal of the Australian Mathematical Society, 1968 A topological semiring is a system (S, +, ·) where (S, +) and (S, ·) are topological semigroups and · distributes across + as in a ring; that is, for all x, y, z in S, The operations + and · are called addition and multiplication respectively.
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Retracted: Some Study of Semigroups of h-Bi-Ideals of Semirings. [PDF]
Comput Math Methods Med, 2023 Methods In Medicine CAM.
europepmc +1 more source
Cryptography Based on (Idempotent) Semirings: Abandoning Tropicality?
EncyclopediaThis review explores the current state of public key cryptography based on idempotent semirings, with an emphasis on tropical semirings. It examines key hard problems, such as the tropical discrete logarithm problem, semidirect tropical product problem ...
Mariana Durcheva
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