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1.
Links between HX-groups and hypergroups
Irina Elena Cristea, Michal Novak, Babatunde Oluwaseun Onasanya, 2021, original scientific article

Keywords: HX-group, hyperstructure theory, Chinese hypergroupoid, EL-hyperstructure, power sets
Published in RUNG: 03.06.2021; Views: 1780; Downloads: 0
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A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Elena Cristea, 2020, original scientific article

Keywords: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Published in RUNG: 28.02.2019; Views: 3158; Downloads: 0
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4.
Cyclicity in EL-hypergroups
Michal Novak, Štepan Krehlik, Irina Elena Cristea, 2018, original scientific article

Keywords: cyclic group, cyclic hypergroup, EL-hyperstructure, preorder
Published in RUNG: 08.11.2018; Views: 3055; Downloads: 0
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5.
PROPERTIES OF REDUCED MEET IDEALS IN LOWER BCK–SEMILATTICES
Hashem Bordbar, Michal Novak, Irina Elena Cristea, Jun young Bae, 2018, published scientific conference contribution

Keywords: BCK–algebra, ideal, lower BCK–semilattice, relative annihilator
Published in RUNG: 12.02.2018; Views: 3380; Downloads: 0
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6.
Composition in EL-hyperstructures
Michal Novak, Irina Elena Cristea, 2017, original scientific article

Keywords: composition hyperring, partially ordered semigroup, hyperstructure
Published in RUNG: 30.10.2017; Views: 3528; Downloads: 0
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7.
Overview on the height of a hyperideal in Krasner hyperrings
Hashem Bordbar, Irina Elena Cristea, Michal Novak, 2017, published scientific conference contribution abstract

Keywords: Krasner hyperring, prime hyperideal, Noetherian hyperring
Published in RUNG: 30.08.2017; Views: 3614; Downloads: 0
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8.
HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
Hashem Bordbar, Irina Elena Cristea, Michal Novak, 2017, original scientific article

Abstract: 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. In this note we first generalize some results concerning the height of a prime hyperideal in a Noetherian Krasner hyperring, with the intent to extend this definition to the case of a general hyperideal in a such hyperring. The main results in this note show that, in a commutative Noetherian Krasner hyperring, the height of a minimal prime hyperideal over a proper hyperideal generated by n elements is less than or equal to n, the converse of this claim being also true. Based on this result, it can be proved that the height of such a prime hyperideal is limited by the height of a corresponding quotient hyperideal.
Keywords: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Published in RUNG: 01.06.2017; Views: 4377; Downloads: 0
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9.
A class of hyperlattices induced by quasi-ordered semigroups
Irina Elena Cristea, Michal Novak, Stepan Krehlik, 2017, published scientific conference contribution

Abstract: In this paper we study hyperstructure generalizations of lattices. We give conditions for EL-semihypergroups to be H_v-semilattices, hypersemilattices or hyperlattices. We also study some of their special elements.
Keywords: join hyperlattice, hyperlattice, hypersemilattice, quasi-ordered semigroup
Published in RUNG: 06.02.2017; Views: 3793; Downloads: 1
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