Results 31 to 40 of about 182 (116)

Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ‐Semihypergroups

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
We give some conditions on ordered Γ‐semihypergroups under which their interior hyperideal is equal to the hyperideal. In this paper, it is shown that in regular (resp., intraregular, semisimple) ordered Γ‐semihypergroups, the hyperideals and the interior hyperideals coincide.
Yongsheng Rao, Qixin Zhou, Ruiqi Cai, Aysha Khan, Zahir Shah   +4 more
wiley   +1 more source

Some Developments in the Field of Homological Algebra by Defining New Class of Modules over Nonassociative Rings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The LA‐module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA‐rings). Because of peculiar characteristics of LA‐ring and its inception into noncommutative and nonassociative theory, drew the attention of many researchers over the last decade.
Asima Razzaque, Inayatur Rehman, Gohar Ali   +2 more
wiley   +1 more source

Regularity in terms of Hyperideals [PDF]

Chinese Journal of Mathematics, 2013
This paper deals with the algebraic hypersystems. The notion of regularity of different type of algebraic systems has been introduced and characterized by different authors such as Iseki, Kovacs, and Lajos. We generalize this notion to algebraic hypersystems giving a unified generalization of the characterizations of Kovacs, Iseki, and Lajos.
Kostaq Hila, Bijan Davvaz, Krisanthi Naka, Jani Dine   +3 more
openaire   +1 more source

Integral closures, primary hyperideals and hypervaluation hyperideals of Kranser hyperrings

Journal of Algebra and Its Applications, 2022
In this paper, the notions of integral closure of hyperrings and hyperideals in a Krasner hyperring [Formula: see text] are defined and some basics properties of them are studied. We define also the notion of hypervaluation hyperideals and then a relations between hypervaluations, integral closure of hyperideals and primary hyperideals are studied. In
M. J. Nikmehr, R. Nikandish, A. Yassine
openaire   +3 more sources

[Retracted] Approximations of Intuitionistic Fuzzy Ideals over Dual Spaces by Soft Binary Relations

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The major advantage of this proposed work is to investigate roughness of intuitionistic fuzzy subsemigroups (RIFSs) by using soft relations. In this way, two sets of intuitionistic fuzzy (IF) soft subsemigroups, named lower approximation and upper approximation regarding aftersets and foresets, have been introduced.
Muhammad Zishan Anwar, Shahida Bashir, Muhammad Aslam, Muhammad Shabir, Ganesh Ghorai   +4 more
wiley   +1 more source

A note on weakly prime hyperideals and (1, n) hyperideals on multiplicative hyperrings

Thermal Science, 2022
In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing the relations between prime hyperideals and weakly prime hyperideals. Then we give definition of weakly n-hyperideal and weakly (1,n) hyperideal over multiplicative hyperrings.
Özel Ay, Elif, Yeşilot, Gürsel
openaire   +4 more sources

A New Approach to Evaluate Regular Semirings in terms of Bipolar Fuzzy k‐Ideals Using k‐Products

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we provide a generalized form of ideals that is k‐ideals of semirings with the combination of a bipolar fuzzy set (BFS). The BFS is a generalization of fuzzy set (FS) that deals with uncertain problems in both positive and negative aspects. The main theme of this paper is to present the idea of (α, β)‐bipolar fuzzy k‐subsemiring (k‐BFSS),
Shahida Bashir, Ahmad N. Al-Kenani, Tanzila Kausar, Rabia Mazhar, Ching-Feng Wen   +4 more
wiley   +1 more source

A Generalized Decision‐Making Technique Based on Bipolar‐Valued Multivague Soft Sets

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The decision‐making technique, launched by Roy and Maji, is considered an effective method to overcome uncertainty and fuzziness in decision‐making problems, though, adapting it to reflect the problem parameters’ vagueness, as well as multibipolarity, is very difficult. So, in this article, the bipolarity is interpolated into the multivague soft set of
Hanan H. Sakr, Abdisalam Hassan Muse, Ramy Aldallal, Muhammad Gulzar   +3 more
wiley   +1 more source

$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings

, 2021
In this study, we examine some properties of $r$-hyperideals in the 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 $r$-hyperideal is also an $r$-hyperideal.
Bolat, Melis, Xu, Peng, Onar, Serkan, Hila, Kostaq, Ersoy, Bayram Ali, Kaya, Elif   +5 more
openaire   +3 more sources

An Approach to BMBJ‐Neutrosophic Hyper‐BCK‐Ideals of Hyper‐BCK‐Algebras

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this article, a new idea of BMBJ‐neutrosophic hyper‐BCK‐algebras is introduced and some of its properties are investigated. Here, BMBJ‐neutrosophic hyper‐BCK‐ideal, BMBJ‐neutrosophic weak hyper‐BCK‐ideal, BMBJ‐neutrosophic s‐weak hyper‐BCK‐ideal, and BMBJ‐neutrosophic strong hyper‐BCK‐ideal are presented, and some relevant results and relations are ...
Abdelaziz Alsubie, Anas Al-Masarwah, Young Bae Jun, Abd Ghafur Ahmad, Feng Feng   +4 more
wiley   +1 more source