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81.
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: 4602; Prenosov: 0
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82.
A new type of fuzzy subsemihypermodules
Morteza Norouzi, Irina Elena Cristea, 2017, izvirni znanstveni članek

Opis: In this paper, combining the notions of “belongingness” and “quasi coincidence” of fuzzy points and fuzzy subsets, a new type of fuzzy subsemihypermodules, namely (∝, ⋐k)-fuzzy subsemihypermodules of general hypermodules, is introduced and characterized, using the “max” operator. Their properties and connections with other (α, β)-fuzzy subsemihypermodules are investigated.
Ključne besede: General hypermodule, (∝, ⋐k)-fuzzy subsemihypermodule, (∝, ∝)-fuzzy subsemihypermodule, (∝, qk)-fuzzy subsemihypermodule
Objavljeno v RUNG: 01.03.2017; Ogledov: 3561; Prenosov: 1
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83.
84.
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: 4021; Prenosov: 1
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85.
How to use the ordinary mathematical models in the military field
Marcelino Belecciu, Camelia Ciobanu, Irina Elena Cristea, 2016, izvirni znanstveni članek

Ključne besede: graph, optimal length, minimum length
Objavljeno v RUNG: 03.01.2017; Ogledov: 4080; Prenosov: 238
.pdf Celotno besedilo (512,41 KB)

86.
A method to compute the number of regular reversible Rosenberg hypergroup
Irina Elena Cristea, Morteza Jafarpour, Ali Tavakoli, 2016, izvirni znanstveni članek

Opis: The purpose of this note is the study of the hypergroups associated with binary relations. New types of matrices, called i-very good and regular reversible matrices, are introduced in order to give some properties of the Rosenberg hypergroups related to them. A program written in $MATLAB$ computes the number of these hypergroups up to isomorphism.
Ključne besede: hypergroup, binary relation, regular reversible hypergroup, Boolean matrix
Objavljeno v RUNG: 02.09.2016; Ogledov: 4655; Prenosov: 0
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87.
Alp, Murat(TR-NIGDE-M); Davvaz, Bijan(IR-YAZD-M) Pullback and pushout crossed polymodules. (English summary) Proc. Indian Acad. Sci. Math. Sci. 125 (2015), no. 1, 11–20
Irina Elena Cristea, 2016, recenzija, prikaz knjige, kritika

Ključne besede: polymodules
Objavljeno v RUNG: 19.08.2016; Ogledov: 5388; Prenosov: 0
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88.
Nazmul, Sk. (6-IEDW-M) ; Samanta, S. K. [Samanta, Syamal Kumar] (6-VBU) On soft multigroups. (English summary) Ann. Fuzzy Math. Inform. 10 (2015), no. 2, 271 -285
Irina Elena Cristea, 2016, recenzija, prikaz knjige, kritika

Ključne besede: soft multigroups
Objavljeno v RUNG: 19.08.2016; Ogledov: 4031; Prenosov: 0
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89.
Fuzzy Subhypergroups Degree
Irina Elena Cristea, 2016, izvirni znanstveni članek

Opis: In this paper we define the degree to which a fuzzy subset on a hypergroup is a fuzzy subhypergroup by means of the residuate sets, constructed using the minimum t-norm. We give also some properties of this new index connected with the intersection of a family of fuzzy subhypergroups, and respectively with the homomorphic image/preimage of a fuzzy subset. We conclude with addressing new problems related with intuitionistic fuzzy subhypergroups and fuzzy subpolygroups in the framework of our discussion.
Ključne besede: Fuzzy set, fuzzy subhypergroup, residuate set, t-norm
Objavljeno v RUNG: 24.06.2016; Ogledov: 4352; Prenosov: 0
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90.
On dihedral hypergroups
Irina Elena Cristea, Morteza Jafarpour, F. Alizadeh, 2014, izvirni znanstveni članek

Ključne besede: dihedral group, regular hypergroup, reversible hypergroup
Objavljeno v RUNG: 16.06.2016; Ogledov: 4092; Prenosov: 18
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