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11.
Eulerʹs totient function applied to complete hypergroups
Andromeda Cristina Sonea, Irina Elena Cristea, 2023, izvirni znanstveni članek

Ključne besede: Euler's totient function, complete hypergroups, period of an element, heart of a hypergroup
Objavljeno v RUNG: 19.01.2023; Ogledov: 1336; Prenosov: 3
.pdf Celotno besedilo (253,55 KB)
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12.
Special Issue on Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
Irina Elena Cristea, 2022, drugi znanstveni članki

Ključne besede: symmetry, hypercompositional algebra, special issue
Objavljeno v RUNG: 17.10.2022; Ogledov: 1099; Prenosov: 20
.pdf Celotno besedilo (200,84 KB)

13.
Regular local hyperrings and hyperdomains
Hashem Bordbar, Irina Elena 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.
Ključne besede: hyperring, hypermodule, vectorialhyperspace, dimension, regularhyperring, regular parameter element, hyperdomain
Objavljeno v RUNG: 27.09.2022; Ogledov: 1135; Prenosov: 21
.pdf Celotno besedilo (258,07 KB)

14.
Mathematics
2013

Ključne besede: matematika
Objavljeno v RUNG: 21.07.2022; Ogledov: 1492; Prenosov: 7
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15.
Heliyon
2015

Ključne besede: znanost, raziskovanje
Objavljeno v RUNG: 14.06.2022; Ogledov: 1471; Prenosov: 7
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16.
Supplements Related to Normal p-Projective Hypermodules
Burcu Turkmen, Hashem Bordbar, Irina Elena 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.
Ključne besede: direct summand, normal p-projective hypermodule, supplement subhypermodule, small subhypermodule
Objavljeno v RUNG: 06.06.2022; Ogledov: 1403; Prenosov: 0
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17.
18.
ON HYPERIDEALS OF KRASNER HYPERRINGS BASED ON DERIVED UNITARY RINGS
Seyed Mousavi, Morteza Jafarpour, Hojat Babaei, Irina Elena Cristea, 2022, izvirni znanstveni članek

Ključne besede: (Krasner) hyperring, strongly regular relation, λe-closed hy- perideal.
Objavljeno v RUNG: 11.05.2022; Ogledov: 1769; Prenosov: 0
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19.
Reducibility in algebraic hyperstructures : PhD thesis
Milica Kankaras, 2022, doktorska disertacija

Objavljeno v RUNG: 05.05.2022; Ogledov: 1535; Prenosov: 0

20.
Divisible hypermodules
Hashem Bordbar, Irina Elena Cristea, 2022, izvirni znanstveni članek

Ključne besede: normal injective hypermodule, zero divisor, divisible hypermodule, canonical hypergroup
Objavljeno v RUNG: 11.02.2022; Ogledov: 1865; Prenosov: 34
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