Repozitorij Univerze v Novi Gorici

Iskanje po repozitoriju
A+ | A- | Pomoč | SLO | ENG

Iskalni niz: išči po
išči po
išči po
išči po
* po starem in bolonjskem študiju

Opcije:
  Ponastavi


1 - 10 / 60
Na začetekNa prejšnjo stran123456Na naslednjo stranNa konec
1.
A hyperstructural approach to semisimplicity
Ergül Türkmen, Burcu Nİşancl Türkmen, Hashem Bordbar, 2024, izvirni znanstveni članek

Opis: In this paper, we provide the basic properties of (semi)simple hypermodules. We show that if a hypermodule M is simple, then (End(M), ·) is a group, where End(M) is the set of all normal endomorphisms of M. We prove that every simple hypermodule is normal projective with a zero singular subhypermodule. We also show that the class of semisimple hypermodules is closed under internal direct sums, factor hypermodules, and subhypermodules. In particular, we give a characterization of internal direct sums of subhypermodules of a hypermodule.
Ključne besede: direct sum, simple hypermodule, semisimple hypermodule
Objavljeno v RUNG: 31.01.2024; Ogledov: 527; Prenosov: 8
.pdf Celotno besedilo (328,98 KB)
Gradivo ima več datotek! Več...

2.
Sheffer stroke Hilbert algebras stabilizing by ideals
Tugce Katican, Hashem Bordbar, 2024, izvirni znanstveni članek

Opis: This manuscript aims to provide a new characterization of Sheffer stroke Hilbert algebras due to their ideals and proposes stabilizers. In the setup of the main results, we construct particular subsets of Sheffer stroke Hilbert algebras and we propose important properties of these subsets by investigating whether these sets are ideals or not. Furthermore, we investigate whether the introduced subsets of Sheffer stroke Hilbert algebras are minimal ideals. Afterward, we define stabilizers in a Sheffer stroke Hilbert algebra and obtain their set theoretical properties. As an implementation of the theoretical findings, we present numerous examples and illustrative remarks to guide readers.
Ključne besede: Hilbert algebra, Sheffer operation, ideal, stabilizer
Objavljeno v RUNG: 31.01.2024; Ogledov: 508; Prenosov: 4
.pdf Celotno besedilo (320,63 KB)
Gradivo ima več datotek! Več...

3.
Torsion elements and torsionable hypermodules
Hashem Bordbar, 2023, izvirni znanstveni članek

Opis: This article is motivated by the recently published studies on divisible hypermodules and falls in the area of hypercompositional algebra. In particular, it focuses on the torsion elements in Krasner hypermodules. First, we define the concept of a torsion element over a hypermodule, and based on it, we introduce a new class of hypermodules, namely the torsionable hypermodule. After investigating some of their fundamental properties, we will show that the class of torsionable hypermodules is a subclass of the class of divisible hypermodules. Finally, we present the relationships between divisible, torsionable, and normal injective hypermodules.
Ključne besede: hypermodules, zero divisors, torsion elements, torsionable hypermodules, normal injective hypermodules
Objavljeno v RUNG: 03.11.2023; Ogledov: 728; Prenosov: 3
.pdf Celotno besedilo (274,24 KB)
Gradivo ima več datotek! Več...

4.
Algebraic structures and graph theory
znanstvena monografija

Ključne besede: graphs, Cayley graph, graph energy, hypergraphs, semigroups, algebra, hypergroups, hyperfield
Objavljeno v RUNG: 10.08.2023; Ogledov: 930; Prenosov: 7
.pdf Celotno besedilo (4,26 MB)
Gradivo ima več datotek! Več...

5.
Preface to the special issue ʺAlgebraic structures and graph theoryʺ : editorial
Irina Elena Cristea, Hashem Bordbar, 2023, drugi znanstveni članki

Ključne besede: algebraic structure, graphs
Objavljeno v RUNG: 27.07.2023; Ogledov: 908; Prenosov: 6
.pdf Celotno besedilo (205,60 KB)
Gradivo ima več datotek! Več...

6.
7.
ŁUKASIEWICZ ANTI FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS
Jeong Gi Kang, Hashem Bordbar, 2025, izvirni znanstveni članek

Opis: Abstract. The subalgebra of BCK/BCI-algebra using Łukasiewicz anti fuzzy set introduced by Jun is studied in this article. The concept of Łukasiewicz anti fuzzy subalgebra of a BCK/BCI-algebra is introduced, and several properties are investigated. The relationship between anti fuzzy subalgebra and Łukasiewicz anti fuzzy subalgebra is given, and the characterization of a Łukasiewicz anti fuzzy subalgebra is discussed. Conditions are found in which a Lukasiewicz anti fuzzy set is a Lukasiewicz anti fuzzy subalgebra Finally, conditions under which ⋖-subset, Υ- subset, and anti-subset become subalgebra are explored.
Ključne besede: Anti fuzzy subalgebra, Łukasiewicz anti fuzzy set, Łukasiewicz anti fuzzy subalgebra, ⋖-subset, Υ-subset, anti subset
Objavljeno v RUNG: 20.02.2023; Ogledov: 991; Prenosov: 0
Gradivo ima več datotek! Več...

8.
Semihypergroup-Based Graph for Modeling International Spread of COVID-n in Social Systems
Narjes Firouzkouhi, Reza Ameri, Abbas Amini, Hashem Bordbar, 2022, izvirni znanstveni članek

Opis: Graph theoretic techniques have been widely applied to model many types of links in social systems. Also, algebraic hypercompositional structure theory has demonstrated its systematic application in some problems. Influenced by these mathematical notions, a novel semihypergroup based graph (SBG) of G = hH, Ei is constructed through the fundamental relation gn on H, where semihypergroup H is appointed as the set of vertices and E is addressed as the set of edges on SBG. Indeed, two arbitrary vertices x and y are adjacent if xgny. The connectivity of graph G is characterized by xg y, whereby the connected components SBG of G would be exactly the elements of the fundamental group H/g . Based on SBG, some fundamental characteristics of the graph such as complete, regular, Eulerian, isomorphism, and Cartesian products are discussed along with illustrative examples to clarify the relevance between semihypergroup H and its corresponding graph. Furthermore, the notions of geometric space, block, polygonal, and connected components are introduced in terms of the developed SBG. To formulate the links among individuals/countries in the wake of the COVID (coronavirus disease) pandemic, a theoretical SBG methodology is presented to analyze and simplify such social systems. Finally, the developed SBG is used to model the trend diffusion of the viral disease COVID-n in social systems (i.e., countries and individuals).
Ključne besede: graph theory, hypergroup, fundamental relation, social systems, geometric space
Objavljeno v RUNG: 23.11.2022; Ogledov: 1092; Prenosov: 0
Gradivo ima več datotek! Več...

9.
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: 1171; Prenosov: 21
.pdf Celotno besedilo (258,07 KB)

10.
Positive implicative ideals of BCK-algebras based on neutrosophic sets and falling shadows
Hashem Bordbar, Xiao Long Xin, Rajab Ali Borzooei, Young Bae Jun, 2022, izvirni znanstveni članek

Opis: Neutrosophy is introduced by F. Smarandache in 1980 which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophy considers a proposition, theory, event, concept, or entity, ”A” in relation to its opposite, ”Anti-A” and that which is not A, ”Non-A”, and that which is neither ”A” nor ”Anti-A”, denoted by ”Neut-A”. Neutrosophy is the basis of neutrosophic logic, neutrosophic probability, neutrosophic set, and neutrosophic statistics. In this article, we apply the notion of neutrosophic set theory to (positive implicative) ideals in BCK-algebras by using the concept of falling shadows. The notions of a positive implicative (∈, ∈)-neutrosophic ideal and a positive implicative falling neutrosophic ideal are introduced, and several properties are investigated. Characterizations of a positive implicative (∈, ∈)-neutrosophic ideal are considered, and relations between a positive implicative (∈, ∈)-neutrosophic ideal and an (∈, ∈)-neutrosophic ideal are discussed. Conditions for an (∈, ∈)-neutrosophic ideal to be a positive implicative (∈, ∈)-neutrosophic ideal are provided, and relations between a positive implicative (∈, ∈)-neutrosophic ideal, a falling neutrosophic ideal and a positive implicative falling neutrosophic ideal are studied. Conditions for a falling neutrosophic ideal to be positive implicative are provided.
Ključne besede: neutrosophic random set, neutrosophic falling shadow, neutrosophic ideal, (positive implicative) falling neutrosophic ideal
Objavljeno v RUNG: 06.06.2022; Ogledov: 1520; Prenosov: 0
Gradivo ima več datotek! Več...

Iskanje izvedeno v 0.06 sek.
Na vrh