Results 31 to 40 of about 84 (67)
On Prime Hyperfilters (Hyperideals) in ^-Hyperlattices
European Journal of Pure and Applied Mathematics, 2018 In this paper, we introduce the notions of strong †∧ â€-hyperlattices, hyperideals and hyperfilters in strong â€âˆ§â€-hyperlattices. Also, we give equivalence conditions for prime hyperfilters (hyperideal) in strong ∧-hyperlattices. Distributivity (dual distributivity) in â€âˆ§â€-hyperlattices,IA-hyperideals and prime hyperfilters in strong
Mohsen Amiri Bideshki +2 more
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Rough Hyperfilters in Po‐LA‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019 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 and hyperfilters of an ordered LA‐semihypergroup. We define the concept of rough hyperfilters and provide useful examples on it.
Ferdaous Bouaziz +2 more
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J-prime hyperideals and their generalizations
, 2021 Let R be a multiplicative hyperring with identity. In this paper, we define the concept of J-prime hyperideals which is a generalization of n-hyperideals and we will show some properties of them. Then we extend the notion of J-prime to quasi J-prime and 2-absorbing J-prime hyperideals. Various characterizations of them are provided.
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$n-$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.
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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
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Some Properties of Multiplicative Hv‐Rings of Polynomials over Multiplicative Hyperrings
Algebra, Volume 2014, Issue 1, 2014., 2014 The set of all polynomials R[x], over a multiplicative hyperring (R, + , ·), form a commutative group with respect to the component‐wise addition (+) of the polynomials. For polynomials f, g in R[x], f*g is a set of polynomials whose (k + 1)th components k∈N∪0 are chosen from the set ∑i+j=kai · bj, where ai and bj are the (i + 1)th and the (j + 1)th ...
Utpal Dasgupta, Andrei V. Kelarev
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Associate, Hyperdomainlike, and Presimplifiable Hyperrings
Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 Based on the works of Axtell et al., Anderson et al., and Ghanem on associate, domainlike, and presimplifiable rings, we introduce new hyperrings called associate, hyperdomainlike, and presimplifiable hyperrings. Some elementary properties of these new hyperrings and their relationships are presented.
Agboola Adesina Abdul Akeem +2 more
wiley +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
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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
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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
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