Results 61 to 70 of about 706 (164)
F-Hypergroups of Type U on the Right [PDF]
Mathematics Interdisciplinary Research, 2020 In this paper, first we introduce F-hypergroups of type U on the right. We will prove that every right scalar identity of an F-hypergroup of type U on the right of size ≤ 5 is also a left identity.
Mehdi Farshi +2 more
doaj +1 more source
On characterization of regular ordered ternary semihypergroups by relative hyperideals
, 2021 <p>In the present paper, we introduce the relative left, right, lateral, two-sided hyperideal, relative quasi-hyperideal, relative bi-hyperideal, relative sub-idempotent ordered bi-hyperideal, relative generalized quasi-hyperideal, relative ...
Abul Basar, Naveed Yaqoob, M. Y. Abbasi and Bhavanari Satyanarayana
core +1 more source
The ordered semilattice equivalence relations on ordered semihypergroups
Quasigroups And Related Systems, 2022 The semilattice equivalence relations play an important role in investigating the structural properties of ordered semihypergroups. Such relations can be expressed in terms of hyperfilters.
Daengsaen Jukkrit +1 more
semanticscholar +1 more source
WSEAS TRANSACTIONS ON MATHEMATICS, 2020 The concept of inverse semihypergroup is a generalization of the concept of inverse semigroup. In this paper we defined an orthodox semihypergroup S as it is a regular semihypergroup in which the set of idempotents of S forms a subsemihypergroup. We also presented a new definition of inverse semihypergroup S as each element x ∈ S has a unique inverse s
openaire +1 more source
On generalized fuzzy sets in ordered LA-semihypergroups; pp. 43–54 [PDF]
Proceedings of the Estonian Academy of Sciences, 2019 Using the notion of generalized fuzzy sets, we introduce the notions of generalized fuzzy hyperideals, generalized fuzzy bi-hyperideals, and generalized fuzzy normal bi-hyperideals in an ordered nonassociative and non-commutative algebraic structure ...
Muhammad Gulistan +3 more
doaj +1 more source
Fuzzy Almost Hyperideals and Fuzzy Almost Quasi-Hyperideals in Semihypergroups
Kragujevac Journal of MathematicsStudying fuzzy hyperideals is necessary for comprehending semihypergroups. The idea of fuzzy hyperideals is expanded upon by several concepts. The notion of almost fuzzy hyperideals is one of them.
N. Lekkoksung, T. Gaketem
semanticscholar +1 more source
Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
Journal of Mathematics, Volume 2024, Issue 1, 2024.We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın +2 more
wiley +1 more source
On special weak free (semi)hypergroups [PDF]
Journal of Hyperstructures, 2013 In this paper, we study some properties of special weak free (semi)hypergroups and we generalize the Nielsen-Schreier theorem for the class of special weak free hypergroups.
Morteza Jafarpour, Abdolah Chashiyani
doaj +1 more source
More Generalization of Union Soft Hyperideals of Ordered Semihypergroups
Kragujevac Journal of MathematicsIn this paper, we introduce the notions of (M,N)-union soft hyperideals and (M,N)-union soft interior hyperideals of ordered semihypergroups. Some basic operations are investigated and some related properties are also studied.
Muhammad Farooq, M. Khalaf, Asghar Khan
semanticscholar +1 more source
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 +1 more source