Results 41 to 50 of about 110 (84)
$n-$absorbing $I-$prime hyperideals in multiplicative hyperrings
, 2023 In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$. We provide some characterizations of $I-$prime hyperideals.
Akray, Ismael, Mina, Ali A.
openaire +2 more sources
Rough Fuzzy Hyperideals in Ternary Semihypergroups
Advances in Fuzzy Systems, Volume 2012, Issue 1, 2012., 2012 The relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems. This paper concerns a relationship between rough sets and ternary semihypergroups.
Naveed Yaqoob +3 more
wiley +1 more source
On Pure Hyperradical in Semihypergroups
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. For this purpose, we define pure, semipure, and other related types of hyperideals and establish some of their basic properties ...
Kostaq Hila +2 more
wiley +1 more source
On Prime and Primary Hyperideals of a Multiplicative Hyperring
Annals of the Alexandru Ioan Cuza University - Mathematics, 2012 Summary: Procesi and Rota introduced and studied in brief the prime hyperideals of multiplicative hyperrings. Here we intend to investigate extensively the prime and primary hyperideals of multiplicative hyperrings with absorbing zero. Defining the radical of a hyperideal \(I\) of a multiplicative hyperring with absorbing zero, as the intersection of ...
openaire +1 more source
Multiplicative hyperring of fractions and coprime hyperideals
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
doaj +1 more source
A novel approach to study ternary semihypergroups in terms of prime soft hyperideals
AIMS Mathematics, 2023 <abstract> <p>In this paper, we give the generalized form of soft semihypergroups in ternary structure and have studied it with the help of examples. There are some structures that are not appropriately handled by using the binary operation of the semihypergroup, such as all the sets of non-positive numbers are not closed under binary ...
Shahida Bashir +3 more
openaire +2 more sources
On Weakly S-Primary Hyperideals in a Krasner (m, n)-Hyperring
Journal of MathematicsOver the years, numerous extensions of the concept of prime hyperideals in a hyperring have been presented by utilizing different algebraic structures associated with the hyperring.
Mahdi Anbarloei
doaj +1 more source
Some hyperideals defined on the basis of the intersection of all n-ary prime hyperideals
, 2022 Various classes of hyperideals have been studied in many papers in order to let us fully understand the structures of hyperrings in general. The purpose of this paper is the study of some hyperideals whose concept is created on the basis of the intersection of all n-ary prime hyperideals in category of Krasner (m,n)-hyperrings.
openaire +2 more sources
Annals of Communications in Mathematics, 2020 The aim of the present paper is to define and bring together the fundamental definitions such as relative hyperideals, relative bi-hyperideals, relative quasi-hyperideals, relative prime hyperideals, relative weakly prime hyperideals, relative semiprime hyperideals, relative prime and relative semiprime bi-hyperideals, and hyper relative regularity of ...
openaire +2 more sources
On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups
Journal of Hyperstructures, 2019 In this paper c-system , n-system and complete prime Γ-radical in a Γ-semihypergroup are introduced and studied whiledefinition of m-system has been revised. Maximal Γ-hyperideals are studied and the conditions under which maximal Γ-hyperideals are prime and vice versa are investigated.
Jamal Abdul Nasir, Ansari Safoora Samreen +1 more
openaire +2 more sources