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1.
A class of hyperlattices induced by quasi-ordered semigroups
Irina 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.
Found in: osebi
Keywords: join hyperlattice, hyperlattice, hypersemilattice, quasi-ordered semigroup
Published: 06.02.2017; Views: 3283; Downloads: 1
.pdf Fulltext (337,41 KB)

2.
HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
Hashem Bordbar, Irina 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.
Found in: osebi
Keywords: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Published: 01.06.2017; Views: 3767; Downloads: 0
.pdf Fulltext (138,31 KB)

3.
Overview on the height of a hyperideal in Krasner hyperrings
Hashem Bordbar, Irina Cristea, Michal Novak, 2017, published scientific conference contribution abstract

Found in: osebi
Keywords: Krasner hyperring, prime hyperideal, Noetherian hyperring
Published: 30.08.2017; Views: 3066; Downloads: 0
.pdf Fulltext (1,59 MB)

4.
Composition in EL-hyperstructures
Michal Novak, Irina Cristea, 2017, original scientific article

Found in: osebi
Keywords: composition hyperring, partially ordered semigroup, hyperstructure
Published: 30.10.2017; Views: 3030; Downloads: 0
.pdf Fulltext (289,60 KB)

5.
PROPERTIES OF REDUCED MEET IDEALS IN LOWER BCK–SEMILATTICES
Hashem Bordbar, Michal Novak, Irina Cristea, Jun young Bae, 2018, published scientific conference contribution

Found in: osebi
Keywords: BCK–algebra, ideal, lower BCK–semilattice, relative annihilator
Published: 12.02.2018; Views: 2787; Downloads: 0
.pdf Fulltext (388,89 KB)

6.
Cyclicity in EL-hypergroups
Michal Novak, Štepan Krehlik, Irina Cristea, 2018, original scientific article

Found in: osebi
Keywords: cyclic group, cyclic hypergroup, EL-hyperstructure, preorder
Published: 08.11.2018; Views: 2470; Downloads: 0
.pdf Fulltext (311,74 KB)

7.
A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Cristea, 2020, original scientific article

Found in: osebi
Keywords: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Published: 28.02.2019; Views: 2612; Downloads: 0
.pdf Fulltext (320,12 KB)

8.
Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures
Irina Cristea, Juš Kocijan, Michal Novak, 2019, original scientific article

Found in: osebi
Keywords: hyperoperation, hypergroupoid, dependence relation, influence, impact
Published: 24.09.2019; Views: 2233; Downloads: 134
.pdf Fulltext (279,83 KB)

9.
Links between HX-groups and hypergroups
Babatunde Oluwaseun Onasanya, Irina Elena Cristea, Michal Novak, 2021, original scientific article

Found in: osebi
Keywords: HX-group, hyperstructure theory, Chinese hypergroupoid, EL-hyperstructure, power sets
Published: 03.06.2021; Views: 1247; Downloads: 0
.pdf Fulltext (321,00 KB)
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