Results 1 to 10 of about 19 (17)

Operations on hyperideals in ordered Krasner hyperrings [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize
Omidi S., Davvaz B., Corsini P.
doaj   +3 more sources

Hyperideal theory in ordered Krasner hyperrings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
doaj   +2 more sources

The associated hyperringoid to a Krasner hyperring

Journal of Taibah University for Science, 2018
“Ends Lemma” is used to construct a hypergroupoid from a (quasi) partially ordered groupoid. But this lemma does not work well for creating a hyperringoid from a (partially) ordered ringoid.
H. Mirabdollahi, S. M. Anvariyeh, S. Mirvakili   +2 more
doaj   +1 more source

CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER

Facta Universitatis, Series: Mathematics and Informatics
In this article, we investigate the distributability of the binary operation of monoids with zero compared to the hyperoperation of canonical hypergroups of order 2 and 3with the help of analytical and algebraic methods and without using computer calculations.
Saeed Mirvakili, Kazem Hamidizadeh, Rauofeh Manaviyat   +2 more
openaire   +2 more sources

Fuzzy ordered Krasner hyperrings

Journal of Intelligent & Fuzzy Systems, 2015
Abstract An ordered Krasner hyperring is a Krasner hyperring (R, + , ·) besides a partial order relation ≤ that satisfies the monotone conditions. In this paper, we introduce the concept of fuzzy hyperideals, fuzzy quasi-hyperideals and fuzzy bi-hyperideals of an ordered Krasner hyperring and we present some examples in this respect.
Davvaz, B., Leoreanu-Fotea, V.
openaire   +1 more source

Ordered Krasner Hyperrings

openaire   +1 more source

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, Elif Kaya, Melis Bolat, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Hasan Dinçer   +6 more
wiley   +1 more source

[Retracted] Roughness in Hypervector Spaces

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah, Naveed Yaqoob, Muhammad Usman, Muhammad Gulzar   +3 more
wiley   +1 more source

r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r‐hyperideals in commutative Krasner hyperrings. Some properties of pr‐hyperideals are also studied. The relation between prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu, Melis Bolat, Elif Kaya, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Kamal Kumar   +6 more
wiley   +1 more source

A Study on A − I − Γ‐Hyperideals and (m, n) − Γ‐Hyperfilters in Ordered Γ‐Semihypergroups

Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021
The concept of almost interior Γ‐hyperideals (A − I − Γ‐hyperideals) in ordered Γ‐semihypergroups is a generalization of the concept of interior Γ‐hyperideals (I − Γ‐hyperideals). In this study, the connections between I − Γ‐hyperideals and A − I − Γ‐hyperideals in ordered Γ‐semihypergroups were presented.
Yongsheng Rao, Saeed Kosari, Zehui Shao, Maryam Akhoundi, Saber Omidi, Tien Van Do   +5 more
wiley   +1 more source