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1.
Orderings and valuations in hyperfields
Katarzyna Kuhlmann, Alessandro Linzi, Hanna Stojałowska, 2022, original scientific article

Keywords: hyperfields, hyperring, ordering, valuation
Published in RUNG: 28.09.2022; Views: 1000; Downloads: 0
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2.
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: 947; Downloads: 21
.pdf Full text (258,07 KB)

3.
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: 1103; Downloads: 0
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4.
The Reducibility Concept in General Hyperrings
Irina Elena Cristea, Milica Kankaraš, 2021, original scientific article

Keywords: general hyperring, reducibility, fundamental relation, equivalence
Published in RUNG: 25.08.2021; Views: 1561; Downloads: 45
.pdf Full text (302,45 KB)

5.
6.
Some open problems in hypercompositional algebra
Irina Elena Cristea, 2020, published scientific conference contribution abstract (invited lecture)

Keywords: hypergroup, hyperring, hyperfield, hypermodule, dependence relation, fundamental realtion, fuzzy reducibility
Published in RUNG: 23.06.2020; Views: 2558; Downloads: 0
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7.
A Comparison of Complete Parts on m-Idempotent Hyperrings
Azam Adineh Zadeh, Morteza Norouzi, Irina Elena Cristea, 2020, original scientific article

Keywords: hyperring, m-idempotent hyperring, ξm-parts, ξm-complete hyperrings
Published in RUNG: 06.04.2020; Views: 2387; Downloads: 85
.pdf Full text (286,29 KB)

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9.
The commutative quotient structure of m-idempotent hyperrings
Azam Adineh Zadeh, Morteza Norouzi, Irina Elena Cristea, 2020, original scientific article

Keywords: Hyperring, m-idempotent hyperring, strongly regular relation
Published in RUNG: 18.03.2020; Views: 2413; Downloads: 85
.pdf Full text (561,39 KB)

10.
Hyperhomographies on Krasner Hyperfields
Vahid Vahidi, Morteza Jafarpour, Irina Elena Cristea, 2019, original scientific article

Keywords: hypergroup, hyperring, hyperfield, (hyper)homography
Published in RUNG: 25.11.2019; Views: 2686; Downloads: 94
.pdf Full text (330,54 KB)

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