Results 51 to 60 of about 149 (104)
Recent results in hyperring and hyperfield theory
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 209-220, 1988., 1987 This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the sum of two elements is a subset of the structure. The results in this paper show that these structures cannot always be embedded in the decomposition of an ordinary structure (ring or field) in equivalence classes and that ...
Anastase Nakassis
wiley +1 more source
KRASNER TERNARY HYPER FIELDS AND MORE CHARACTERIZATION OF PRIME AND MAXIMAL HYPER IDEALS IN KRASNER TERNARY HYPER RINGS [PDF]
International Journal of Pure and Apllied Mathematics, 2016 In 2010, Davvaz and Mirvakili introduced a new class of hyper structure called an (m,n)-Krasner hyperring, constructed its quotient class where the hyper ideal considered in the said construction is normal, and proved the isomorphism theorems. Recently, Castillo and Vilela investigated the (2,3)-Krasner hyperring called a Krasner ternary hyperring, and
openaire +1 more source
Methods of constructing hyperfields
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 4, Page 725-728, 1985., 1983 In this paper we introduce a class of hyperfields which contains non quotient hyperfields. Thus we give a negative answer to the question of whether every hyperfield is isomorphic to a quotient of a field K by some subgroup G of its multiplicative group.
Ch. G. Massouros
wiley +1 more source
On topological quotient hyperrings and α*-relation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this research, we first introduce the concept of a topological Krasner hyperring and then proceed to investigate its properties. By applying relative topology to subhyperrings, we analyze the properties associated with them. In other words, the aim is
Zare A., Davvaz B.
doaj +1 more source
Operations on hyperideals in ordered Krasner hyperrings
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 +1 more source
$J$-hyperideals and their expansions in a Krasner $(m,n)$-hyperring
Hacettepe Journal of Mathematics and Statistics, 2023 Over the years, different types of hyperideals have been introduced in order to let us fully realize the structures of hyperrings in general. The aim of this research work is to define and characterize a new class of hyperideals in a Krasner $(m,n)$-hyperring that we call n-ary $J$-hyperideals.
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$r$-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 +5 more
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A more general framework than the delta-primary hyperideals
, 2023 In this paper we aim to study the notion of (t,n)-absorbing delta-semiprimary hyperideal in a Krasner (m,n ...
Anbarloei, Mahdi
core
Neutrosophic Sets and Systems [PDF]
, 2013 Neutrosophic Sets and Systems has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as ...
Smarandache, Florentin (Editor-in-Chief)
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HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
, 2017 Inspired by the classical concept of height of a prime ideal in a ring, we proposed in a precedent paper the notion of height of a prime hyperideal in a Krasner hyperring.
Cristea, Irina +2 more
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