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1.
Hyperideal-based zero-divisor graph of the general hyperring Z[sub]n
Mohammad Hamidi, Irina Elena Cristea, 2024, izvirni znanstveni članek

Ključne besede: general hyperring, hyperideal, absorbing element, hyperideal-based zero-divisor graph
Objavljeno v RUNG: 08.05.2024; Ogledov: 328; Prenosov: 3
.pdf Celotno besedilo (327,71 KB)
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2.
Polygroup objects in regular categories
Alessandro Linzi, 2024, izvirni znanstveni članek

Opis:

We express the fundamental properties of commutative polygroups (also known as canonical hypergroups) in category-theoretic terms, over the category $ \mathbf{Set} $ formed by sets and functions. For this, we employ regularity as well as the monoidal structure induced on the category $ {\mathbf{Rel}} $ of sets and relations by cartesian products. We highlight how our approach can be generalised to any regular category. In addition, we consider the theory of partial multirings and find fully faithful functors between certain slice or coslice categories of the category of partial multirings and other categories formed by well-known mathematical structures and their morphisms.


Ključne besede: polygroup, canonical hypergroup, multiring, Krasner hyperring, regular category, relation
Objavljeno v RUNG: 25.03.2024; Ogledov: 466; Prenosov: 3
.pdf Celotno besedilo (504,37 KB)
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3.
Orderings and valuations in hyperfields
Katarzyna Kuhlmann, Alessandro Linzi, Hanna Stojałowska, 2022, izvirni znanstveni članek

Ključne besede: hyperfields, hyperring, ordering, valuation
Objavljeno v RUNG: 28.09.2022; Ogledov: 1284; Prenosov: 0
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4.
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: 1221; Prenosov: 21
.pdf Celotno besedilo (258,07 KB)

5.
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: 1892; Prenosov: 0
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6.
The Reducibility Concept in General Hyperrings
Irina Elena Cristea, Milica Kankaraš, 2021, izvirni znanstveni članek

Ključne besede: general hyperring, reducibility, fundamental relation, equivalence
Objavljeno v RUNG: 25.08.2021; Ogledov: 1882; Prenosov: 45
.pdf Celotno besedilo (302,45 KB)

7.
8.
Some open problems in hypercompositional algebra
Irina Elena Cristea, 2020, objavljeni povzetek znanstvenega prispevka na konferenci (vabljeno predavanje)

Ključne besede: hypergroup, hyperring, hyperfield, hypermodule, dependence relation, fundamental realtion, fuzzy reducibility
Objavljeno v RUNG: 23.06.2020; Ogledov: 2985; Prenosov: 0
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9.
A Comparison of Complete Parts on m-Idempotent Hyperrings
Azam Adineh Zadeh, Morteza Norouzi, Irina Elena Cristea, 2020, izvirni znanstveni članek

Ključne besede: hyperring, m-idempotent hyperring, ξm-parts, ξm-complete hyperrings
Objavljeno v RUNG: 06.04.2020; Ogledov: 2713; Prenosov: 85
.pdf Celotno besedilo (286,29 KB)

10.
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