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1.
The Structure of the Block Code Generated by a BL-Algebra
Hashem Bordbar, 2022, izvirni znanstveni članek

Opis: Inspired by the concept of BL-algebra as an important part of the ordered algebra, in this paper we investigate the binary block code generated by an arbitrary BL-algebra and study related properties. For this goal, we initiate the study of the BL-function on a nonempty set P based on BL-algebra L, and by using that, l-functions and l-subsets are introduced for the arbitrary element l of a BL-algebra. In addition, by the mean of the l-functions and l-subsets, an equivalence relation on the BL-algebra L is introduced, and using that, the structure of the code generated by an arbitrary BL-algebra is considered. Some related properties (such as the length and the linearity) of the generated code and examples are provided. Moreover, as the main result, we define a new order on the generated code C based on the BL-algebra L, and show that the structures of the BL-algebra with its order and the correspondence generated code with the defined order are the same.
Najdeno v: osebi
Ključne besede: BL-function, BL-code, binary linear block codes, coding theory, BL-algebra
Objavljeno: 07.03.2022; Ogledov: 242; Prenosov: 5
.pdf Polno besedilo (261,87 KB)

2.
HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
Hashem Bordbar, Irina Cristea, Michal Novak, 2017, izvirni znanstveni članek

Opis: Inspired by the classical concept of height of a prime ideal in a ring, we proposed in a precedent paper the notion of height of a prime hyperideal in a Krasner hyperring. In this note we first generalize some results concerning the height of a prime hyperideal in a Noetherian Krasner hyperring, with the intent to extend this definition to the case of a general hyperideal in a such hyperring. The main results in this note show that, in a commutative Noetherian Krasner hyperring, the height of a minimal prime hyperideal over a proper hyperideal generated by n elements is less than or equal to n, the converse of this claim being also true. Based on this result, it can be proved that the height of such a prime hyperideal is limited by the height of a corresponding quotient hyperideal.
Najdeno v: osebi
Ključne besede: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Objavljeno: 01.06.2017; Ogledov: 3118; Prenosov: 0
.pdf Polno besedilo (138,31 KB)

3.
Overview on the height of a hyperideal in Krasner hyperrings
Hashem Bordbar, Irina Cristea, Michal Novak, 2017, objavljeni povzetek znanstvenega prispevka na konferenci

Najdeno v: osebi
Ključne besede: Krasner hyperring, prime hyperideal, Noetherian hyperring
Objavljeno: 30.08.2017; Ogledov: 2463; Prenosov: 0
.pdf Polno besedilo (1,59 MB)

4.
Neutrosophic N-Structures Applied to BCK/BCI-Algebras
Jun young Bae, Florentin Smarandache, Hashem Bordbar, 2017, izvirni znanstveni članek

Opis: Neutrosophic N-structures with applications in BCK/BCI-algebras is discussed. The notions of a neutrosophic N-subalgebra and a (closed) neutrosophic N-ideal in a BCK/BCI-algebra are introduced, and several related properties are investigated. Characterizations of a neutrosophic N-subalgebra and a neutrosophic N-ideal are considered, and relations between a neutrosophic N-subalgebra and a neutrosophic N-ideal are stated. Conditions for a neutrosophic N-ideal to be a closed neutrosophic N-ideal are provided.
Najdeno v: osebi
Ključne besede: neutrosophic N-structure, neutrosophic N-subalgebra, (closed) neutrosophic N-ideal
Objavljeno: 01.12.2019; Ogledov: 1620; Prenosov: 0
.pdf Polno besedilo (261,83 KB)

5.
Italian journal of pure and applied mathematics
2010, druga izvedena dela

Opis: Član uredniškega odbora 2020-
Najdeno v: osebi
Objavljeno: 15.04.2021; Ogledov: 791; Prenosov: 81
URL Polno besedilo (0,00 KB)
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6.
Neutrosophic sets and systems
druga izvedena dela

Opis: urednik 2020-
Najdeno v: osebi
Objavljeno: 15.04.2021; Ogledov: 749; Prenosov: 54
URL Polno besedilo (0,00 KB)
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7.
Symmetry
2009, druga izvedena dela

Opis: recenzent 2021-
Najdeno v: osebi
Ključne besede: physics, chemistry, biology, mathematics, computer science, engineering
Objavljeno: 15.04.2021; Ogledov: 815; Prenosov: 28
.docx Polno besedilo (266,05 KB)
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8.
Height of Prime Hyperideals in Krasner Hyperrings
Irina Cristea, Hashem Bordbar, 2017, izvirni znanstveni članek

Najdeno v: osebi
Ključne besede: hyperring, prime/maximal hyperideal, dimension of a hyperring, height of a prime hyperideal
Objavljeno: 03.01.2018; Ogledov: 2360; Prenosov: 0
.pdf Polno besedilo (257,02 KB)

9.
PROPERTIES OF REDUCED MEET IDEALS IN LOWER BCK–SEMILATTICES
Hashem Bordbar, Michal Novak, Irina Cristea, Jun young Bae, 2018, objavljeni znanstveni prispevek na konferenci

Najdeno v: osebi
Ključne besede: BCK–algebra, ideal, lower BCK–semilattice, relative annihilator
Objavljeno: 12.02.2018; Ogledov: 2241; Prenosov: 0
.pdf Polno besedilo (388,89 KB)

10.
A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Cristea, 2020, izvirni znanstveni članek

Najdeno v: osebi
Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Objavljeno: 28.02.2019; Ogledov: 2082; Prenosov: 0
.pdf Polno besedilo (320,12 KB)

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