Study on the structure of Γ-semihypergroups

K Hila, B Davvaz, J Dine - Communications in Algebra, 2012 - Taylor & Francis
In this article, we study Γ-semihypergroups introduced recently. We introduce the hyper
versions of Green's relations in Γ-semihypergroups and give some related characterizations …

On new filters in ordered semigroups

M Al-Tahan, B Davvaz, A Mahboob… - Symmetry, 2022 - mdpi.com
Ordered semigroups are understood through their subsets. The aim of this article is to study
ordered semigroups through some new substructures. In this regard, quasi-filters and (m, n) …

[PDF][PDF] Γ-semigroups with apartness

DA Romano - Bull. Allahabad Math. Soc, 2019 - researchgate.net
As a generalization of a semigroup, Sen, in 1981, introduced the concept of Γ-semigroups.
In this paper we analyze the concept of Γ-semigroups with apartness. The logical setting of …

On fuzzy interior Γ-hyperideals in ordered Γ-semihypergroups

J Tang, B Davvaz, XY Xie… - Journal of Intelligent & …, 2017 - content.iospress.com
In this paper, we introduce the concept of interior Γ-hyperideals of ordered Γ-
semihypergroups, which is a generalization of the concept of interior Γ-hyperideals of Γ …

Rough Hyperfilters in Po‐LA‐Semihypergroups

F Bouaziz, N Yaqoob - Discrete Dynamics in Nature and …, 2019 - Wiley Online Library
This paper concerns the study of hyperfilters of ordered LA‐semihypergroups, and presents
some examples in this respect. Furthermore, we study the combination of rough set theory …

[PDF][PDF] Co-filters in Γ-semigroups ordered under co-order

DA Romano - An. Stiint. Univ. Al. I. Cuza Iasi, Ser. Noua, Mat, 2021 - math.uaic.ro
As a generalization of a semigroup, Sen, in 1981, introduced the concept of Γ-semigroups.
In our paper (DA Romano, Γ-semigroups with apartness. Bull. Allahabad Math. Soc., 34 …

A study on (fuzzy) quasi-Γ-hyperideals in ordered Γ-semihypergroups

J Tang, B Davvaz, X Xie - Journal of Intelligent & Fuzzy …, 2017 - content.iospress.com
In this paper, as a generalization of the concept of quasi-Γ-hyperideals of Γ-
semihypergroups to ordered Γ-semihypergroup theory, the concept of quasi-Γ-hyperideals …

On quasi-prime, weakly quasi-prime left ideals in ordered-Γ-semigroups

K Hila - Mathematica Slovaca, 2010 - Springer
In this paper we obtain and establish some important results in ordered Γ-semigroups
extending and generalizing those for semigroups given in [PETRICH, M.: Introduction to …

[PDF][PDF] Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroups

N Yaqoob, J Tang, J Tang - AIMS Mathematics, 2021 - aimspress.com
In this paper, we define type-1 quasi-hyperfilters (resp., type-1 strong quasihyperfilters, type-
2 quasi-hyperfilters, type-2 strong quasi-hyperfilters, interior hyperfilters, strong interior …

[PDF][PDF] The concept of dual of Γ-ideals in a co-ordered Γ-semigroup with apartness

DA Romano - Electronic Journal of Mathematics, 2021 - shahindp.com
In 1981, Sen introduced the notion of Γ-semigroups as a generalization of semigroups. The
idea of Γ-semigroups with apartness in the Bishop's constructive framework was introduced …