Results 11 to 20 of about 779 (169)
The Reducibility Concept in General Hyperrings
Mathematics, 2021 By using three equivalence relations, we characterize the behaviour of the elements in a hypercompositional structure. With respect to a hyperoperation, some elements play specific roles: their hypercomposition with all the elements of the carrier set ...
Irina Cristea +2 more
exaly +6 more sources
δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 This paper deals with an important class of multialgebras, called Krasner hyperrings. Our purpose is to define the expansion of r-hyperideals and to extend this concept to Ï-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity.
Peng Xu +5 more
doaj +3 more sources
Ф-δ-Primary Hyperideals in Krasner Hyperrings [PDF]
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.
Kaya, Elif +5 more
core +3 more sources
Some Results on the Divisible Hyperrings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A class of hyperrings known as divisible hyperrings will be studied in this paper. It will be presented as each element in this hyperring is a divisible element.
Mayssam Fadel Abood +1 more
doaj +4 more sources
Normal Self-injective Hyperrings
مجلة بغداد للعلوم, 2022 In this paper normal self-injective hyperrings are introduced and studied. Some new relations between this concept and essential hyperideal, dense hyperideal, and divisible hyperring are studied.
Mayssam Fadel Abood +1 more
doaj +4 more sources
Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals [PDF]
The Scientific World Journal, 2015 We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism.
Ganeshsree Selvachandran +1 more
doaj +3 more sources
Fundamental relation on m-idempotent hyperrings
Open Mathematics, 2017 The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called εm∗$\varepsilon^{*}_{m}
Morteza Norouzi, Irina Cristea
exaly +4 more sources
Generalized Centroid of Hyperrings
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the notion of generalized centroid is applied to hyperrings. We show that the generalized centroid C of a semiprime hyperring R is a regular hyperring. Also, we show that if C is a hyperfield, then R is a prime hyperring.
Yazarli Hasret +2 more
doaj +3 more sources
Regular Parameter Elements and Regular Local Hyperrings
Mathematics, 2021 Inspired by the concept of regular local rings in classical algebra, in this article we initiate the study of the regular parameter elements in a commutative local Noetherian hyperring.
Hashem Bordbar, Irina Cristea
doaj +3 more sources
Characterizations of Hyperrings by Fuzzy Hyperideals with Respect to At-norm
Fuzzy Information and Engineering, 2017 In this paper, we inquire further into the properties on some kind fuzzy hyperideals and we study the hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals,
Kostaq Hila
exaly +4 more sources