Results 21 to 30 of about 409,521 (101)
The L-ordered L-semihypergroups [PDF]
Open Mathematics, 2020 This study pursues an investigation on L-semihypergroups equipped with an L-order. First, the concept of L-ordered L-semihypergroups is introduced by L-posets and L-semihypergroups, and some related results are obtained.
Su Shuhua, Liu Fuyao, Yang Shuqun
doaj +2 more sources
Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder
European Journal of Combinatorics, 2015 Most of the results on semigroups (ordered semigroups) can be transferred to hypersemigroups (ordered hypersemigroups). We never work directly on an hypersemigroup. If we want to obtain a result for an hypersemigroup (ordered hypersemigroup), then we have to solve it first for a semigroup (ordered semigroup) and transfer its proof to hypersemigroup ...
Bijan Davvaz
exaly +4 more sources
A study on weak hyperfilters of ordered semihypergroups
AIMS Mathematics, 2021 In this paper, the notion of weak hyperfilters of an ordered semihypergroup is introduced, and several related properties and applications are given. In particular, we discuss the relationship between the weak hyperfilters and the prime hyperideals in ...
Jian Tang, Xiangyun Xie, Ze Gu
semanticscholar +4 more sources
On weakly semiprime segments of ordered semihypergroups
AIMS Mathematics, 2021 In this paper, we introduce the concept of weakly semiprime segments in an ordered semihypergroup and classify weakly semiprime segments of an ordered semihypergroup into four cases which are simple, exceptional, Archimedean and decomposable.
Ze Gu
semanticscholar +4 more sources
On Some Hyperideals in Ordered Semihypergroups
Journal of New Theory, 2019 In this paper, we study orderedhyperideals in ordered semihypergroups. Also, we study (m, n)-regular orderedsemihypergroups in terms of ordered (m, n)-hyperideals. Furthermore, we obtainsome ideal theoretic results in ordered semihypergroups.
Mohammad Yahya Abbasi +4 more
doaj +5 more sources
Convex ordered Gamma-semihypergroups associated to strongly regular relations
, 2017 In this study, we introduce and investigate the notion of convex ordered Gamma-semihypergroups associated to strongly regular relations. Afterwards, we prove that if sigma is a strongly regular relation on a convex ordered Gamma-semihypergroup, then the ...
S. Omidi, B. Davvaz
semanticscholar +2 more sources
Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets
Journal of MathematicsThe 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, Naveed Yaqoob
openaire +3 more sources
A study on (strong) order-congruences in ordered semihypergroups
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: In this paper, we introduce the concepts of order-congruences and strong order-congruences on an ordered semihypergroup \(S,\) and obtain the relationship between strong order-congruences and pseudoorders on \(S\). Furthermore, we characterize the (strong) order-congruences by the \(\rho\)-chains, where \(\rho\) is a (strong) congruence on \(S\
Jian Tang, Yanfeng Luo, Xiangyun Xie
semanticscholar +3 more sources
ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan +6 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Polygroups are an extended form of groups and a subclass of hypergroups that follow group‐type axioms. In this paper, we define a triplet single‐valued neutrosophic set, which is a generalization of fuzzy sets, intuitionistic fuzzy sets, and neutrosophic sets, and we combine this novel concept with hypergroups and polygroups.
M. Shazib Hameed +5 more
wiley +1 more source