1. A new type of fuzzy subsemihypermodulesMorteza 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. Najdeno v: ključnih besedah Povzetek najdenega: ...General hypermodule, (∝, ⋐k)-fuzzy subsemihypermodule, (∝, ∝)-fuzzy subsemihypermodule, (∝,... Ključne besede: General hypermodule, (∝, ⋐k)-fuzzy subsemihypermodule, (∝, ∝)-fuzzy subsemihypermodule, (∝, qk)-fuzzy subsemihypermodule Objavljeno: 01.03.2017; Ogledov: 2830; Prenosov: 1
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3. Some open problems in hypercompositional algebraIrina Cristea, 2020, objavljeni povzetek znanstvenega prispevka na konferenci (vabljeno predavanje) Najdeno v: ključnih besedah Povzetek najdenega: ...hypergroup, hyperring, hyperfield, hypermodule, dependence relation, fundamental realtion, fuzzy reducibility... Ključne besede: hypergroup, hyperring, hyperfield, hypermodule, dependence relation, fundamental realtion, fuzzy reducibility Objavljeno: 23.06.2020; Ogledov: 1851; Prenosov: 0
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5. Divisible hypermodulesHashem Bordbar, Irina Elena Cristea, 2022, izvirni znanstveni članek Najdeno v: ključnih besedah Povzetek najdenega: ...normal injective hypermodule, zero divisor, divisible hypermodule, canonical hypergroup... Ključne besede: normal injective hypermodule, zero divisor, divisible hypermodule, canonical hypergroup Objavljeno: 11.02.2022; Ogledov: 782; Prenosov: 27
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6. Supplements Related to Normal p-Projective HypermodulesBurcu Turkmen, Hashem Bordbar, Irina Cristea, 2022, izvirni znanstveni članek Opis: In this study, the role of supplements in Krasner hypermodules is examined and related
to normal p-projectivity. We prove that the class of supplemented Krasner hypermodules is closed under finite sums and under quotients. Moreover, we give characterizations of finitely generated supplemented and amply supplemented Krasner hypermodules. In the second part of the paper we relate the normal projectivity to direct summands and supplements in Krasner hypermodules. Najdeno v: ključnih besedah Povzetek najdenega: ...direct summand, normal p-projective hypermodule, supplement subhypermodule, small
subhypermodule... Ključne besede: direct summand, normal p-projective hypermodule, supplement subhypermodule, small
subhypermodule Objavljeno: 06.06.2022; Ogledov: 523; Prenosov: 0
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7. Regular local hyperrings and hyperdomainsHashem Bordbar, Irina Cristea, Sanja Rasovic, 2022, izvirni znanstveni članek Opis: This paper falls in the area of hypercompositional algebra. In particular, it focuses on the
class of Krasner hyperrings and it studies the regular local hyperrings. These are Krasner hyperrings R with a unique maximal hyperideal M having the dimension equal to the dimension of the vectorial hyperspace M. The aim of the paper is to show that any regular local hyperring is a hyperdomain. M2 For proving this, we make use of the relationship existing between the dimension of the vectorial hyperspaces related to the hyperring R and to the quotient hyperring R = R , where a is an element in M \ M2, and of the regularity of R. Najdeno v: ključnih besedah Povzetek najdenega: ...hyperring, hypermodule,vectorialhyperspace,dimension,regularhyperring,regular parameter element, hyperdomain... Ključne besede: hyperring, hypermodule, vectorialhyperspace, dimension, regularhyperring, regular parameter element, hyperdomain Objavljeno: 27.09.2022; Ogledov: 330; Prenosov: 14
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