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11.
Special Issue on Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
Irina Elena Cristea, 2022, short scientific article

Keywords: symmetry, hypercompositional algebra, special issue
Published in RUNG: 17.10.2022; Views: 962; Downloads: 20
.pdf Full text (200,84 KB)

12.
Regular local hyperrings and hyperdomains
Hashem Bordbar, Irina Elena Cristea, Sanja Rasovic, 2022, original scientific article

Abstract: 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.
Keywords: hyperring, hypermodule, vectorialhyperspace, dimension, regularhyperring, regular parameter element, hyperdomain
Published in RUNG: 27.09.2022; Views: 1018; Downloads: 21
.pdf Full text (258,07 KB)

13.
Mathematics
2013

Keywords: matematika
Published in RUNG: 21.07.2022; Views: 1338; Downloads: 7
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14.
Heliyon
2015

Keywords: znanost, raziskovanje
Published in RUNG: 14.06.2022; Views: 1331; Downloads: 7
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15.
Supplements Related to Normal p-Projective Hypermodules
Burcu Turkmen, Hashem Bordbar, Irina Elena Cristea, 2022, original scientific article

Abstract: 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.
Keywords: direct summand, normal p-projective hypermodule, supplement subhypermodule, small subhypermodule
Published in RUNG: 06.06.2022; Views: 1257; Downloads: 0
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16.
17.
ON HYPERIDEALS OF KRASNER HYPERRINGS BASED ON DERIVED UNITARY RINGS
Seyed Mousavi, Morteza Jafarpour, Hojat Babaei, Irina Elena Cristea, 2022, original scientific article

Keywords: (Krasner) hyperring, strongly regular relation, λe-closed hy- perideal.
Published in RUNG: 11.05.2022; Views: 1160; Downloads: 0
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18.
Reducibility in algebraic hyperstructures : PhD thesis
Milica Kankaras, 2022, doctoral dissertation

Published in RUNG: 05.05.2022; Views: 1380; Downloads: 0

19.
Divisible hypermodules
Hashem Bordbar, Irina Elena Cristea, 2022, original scientific article

Keywords: normal injective hypermodule, zero divisor, divisible hypermodule, canonical hypergroup
Published in RUNG: 11.02.2022; Views: 1705; Downloads: 34
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20.
Knots and knot-hyperpaths in hypergraphs
Saifur Rahman, Maitrayee Chowdhury, A. Firos, Irina Elena Cristea, 2022, original scientific article

Keywords: hypergraph, hyperpath, hypertree, knot, hypercontinuity, equivalent hyperpaths
Published in RUNG: 31.01.2022; Views: 1470; Downloads: 70
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