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1.
A class of hyperlattices induced by quasi-ordered semigroups
Irina 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.
Najdeno v: osebi
Ključne besede: join hyperlattice, hyperlattice, hypersemilattice, quasi-ordered semigroup
Objavljeno: 06.02.2017; Ogledov: 3192; Prenosov: 1
.pdf Polno besedilo (337,41 KB)

2.
HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
Hashem Bordbar, Irina 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.
Najdeno v: osebi
Ključne besede: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Objavljeno: 01.06.2017; Ogledov: 3665; Prenosov: 0
.pdf Polno besedilo (138,31 KB)

3.
Overview on the height of a hyperideal in Krasner hyperrings
Hashem Bordbar, Irina Cristea, Michal Novak, 2017, objavljeni povzetek znanstvenega prispevka na konferenci

Najdeno v: osebi
Ključne besede: Krasner hyperring, prime hyperideal, Noetherian hyperring
Objavljeno: 30.08.2017; Ogledov: 2970; Prenosov: 0
.pdf Polno besedilo (1,59 MB)

4.
Composition in EL-hyperstructures
Michal Novak, Irina Cristea, 2017, izvirni znanstveni članek

Najdeno v: osebi
Ključne besede: composition hyperring, partially ordered semigroup, hyperstructure
Objavljeno: 30.10.2017; Ogledov: 2939; Prenosov: 0
.pdf Polno besedilo (289,60 KB)

5.
PROPERTIES OF REDUCED MEET IDEALS IN LOWER BCK–SEMILATTICES
Hashem Bordbar, Michal Novak, Irina Cristea, Jun young Bae, 2018, objavljeni znanstveni prispevek na konferenci

Najdeno v: osebi
Ključne besede: BCK–algebra, ideal, lower BCK–semilattice, relative annihilator
Objavljeno: 12.02.2018; Ogledov: 2697; Prenosov: 0
.pdf Polno besedilo (388,89 KB)

6.
Cyclicity in EL-hypergroups
Michal Novak, Štepan Krehlik, Irina Cristea, 2018, izvirni znanstveni članek

Najdeno v: osebi
Ključne besede: cyclic group, cyclic hypergroup, EL-hyperstructure, preorder
Objavljeno: 08.11.2018; Ogledov: 2379; Prenosov: 0
.pdf Polno besedilo (311,74 KB)

7.
A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Cristea, 2020, izvirni znanstveni članek

Najdeno v: osebi
Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Objavljeno: 28.02.2019; Ogledov: 2519; Prenosov: 0
.pdf Polno besedilo (320,12 KB)

8.
Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures
Irina Cristea, Juš Kocijan, Michal Novak, 2019, izvirni znanstveni članek

Najdeno v: osebi
Ključne besede: hyperoperation, hypergroupoid, dependence relation, influence, impact
Objavljeno: 24.09.2019; Ogledov: 2140; Prenosov: 129
.pdf Polno besedilo (279,83 KB)

9.
Links between HX-groups and hypergroups
Babatunde Oluwaseun Onasanya, Irina Elena Cristea, Michal Novak, 2021, izvirni znanstveni članek

Najdeno v: osebi
Ključne besede: HX-group, hyperstructure theory, Chinese hypergroupoid, EL-hyperstructure, power sets
Objavljeno: 03.06.2021; Ogledov: 1163; Prenosov: 0
.pdf Polno besedilo (321,00 KB)
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