Results 71 to 80 of about 260 (138)
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.
openaire +2 more sources
On quasi-prime differential semiring ideals
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commutative rings, i.e. commutative rings considered together with a derivation, as differential ideals maximal among those not meeting some multiplicatively ...
І. О. Мельник
doaj +1 more source
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
wiley +1 more source
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
doaj +1 more source
ON JORDAN IDEAL IN PRIME AND SEMIPRIME INVERSE SEMIRINGS WITH CENTRALIZER
Al-Mustansiriyah Journal of Science, 2020 In this paper we recall the definition of centralizer on inverse semiring. Also introduce the definition of Jordan ideal and Lie ideal. Some results of M.A.Joso Vukman on centralizers on semiprime rings are generalized here to inverse semirings.
Rawnaq Khaleel Ibraheem +1 more
doaj +1 more source
, 1998 This article has been published in the proceedings of the "Idempotency" conference, organized by Jeremy Gunawardena in Bristol in october 1994. The aim of this paper is to present the tropical semirings and to survey a few problems relevant to them.
openaire +2 more sources
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.
openaire +2 more sources
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.
doaj +1 more source
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
Fuzzy Ideals and Fuzzy Interior Ideals in Ordered Semirings
Fuzzy Information and Engineering, 2014 The notions of fuzzy ideals and fuzzy interior ideals in ordered semirings are introduced and some of their characterizations are obtained through regularity criterion and with some operations on them.
Debabrata Mandal
doaj +1 more source