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1.
Links between HX-groups and hypergroups
Irina Elena Cristea, Michal Novak, Babatunde Oluwaseun Onasanya, 2021, izvirni znanstveni članek

Ključne besede: HX-group, hyperstructure theory, Chinese hypergroupoid, EL-hyperstructure, power sets
Objavljeno v RUNG: 03.06.2021; Ogledov: 1799; Prenosov: 0
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2.
Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures
Irina Elena Cristea, Juš Kocijan, Michal Novak, 2019, izvirni znanstveni članek

Ključne besede: hyperoperation, hypergroupoid, dependence relation, influence, impact
Objavljeno v RUNG: 24.09.2019; Ogledov: 2775; Prenosov: 140
.pdf Celotno besedilo (279,83 KB)

3.
A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Elena Cristea, 2020, izvirni znanstveni članek

Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Objavljeno v RUNG: 28.02.2019; Ogledov: 3176; Prenosov: 0
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4.
Cyclicity in EL-hypergroups
Michal Novak, Štepan Krehlik, Irina Elena Cristea, 2018, izvirni znanstveni članek

Ključne besede: cyclic group, cyclic hypergroup, EL-hyperstructure, preorder
Objavljeno v RUNG: 08.11.2018; Ogledov: 3070; Prenosov: 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, objavljeni znanstveni prispevek na konferenci

Ključne besede: BCK–algebra, ideal, lower BCK–semilattice, relative annihilator
Objavljeno v RUNG: 12.02.2018; Ogledov: 3391; Prenosov: 0
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6.
Composition in EL-hyperstructures
Michal Novak, Irina Elena Cristea, 2017, izvirni znanstveni članek

Ključne besede: composition hyperring, partially ordered semigroup, hyperstructure
Objavljeno v RUNG: 30.10.2017; Ogledov: 3531; Prenosov: 0
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7.
Overview on the height of a hyperideal in Krasner hyperrings
Hashem Bordbar, Irina Elena Cristea, Michal Novak, 2017, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: Krasner hyperring, prime hyperideal, Noetherian hyperring
Objavljeno v RUNG: 30.08.2017; Ogledov: 3619; Prenosov: 0
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8.
HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
Hashem Bordbar, Irina Elena Cristea, Michal Novak, 2017, izvirni znanstveni članek

Opis: 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.
Ključne besede: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Objavljeno v RUNG: 01.06.2017; Ogledov: 4383; Prenosov: 0
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9.
A class of hyperlattices induced by quasi-ordered semigroups
Irina Elena Cristea, Michal Novak, Stepan Krehlik, 2017, objavljeni znanstveni prispevek na konferenci

Opis: 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.
Ključne besede: join hyperlattice, hyperlattice, hypersemilattice, quasi-ordered semigroup
Objavljeno v RUNG: 06.02.2017; Ogledov: 3805; Prenosov: 1
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