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1.
HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
Hashem Bordbar, Irina Cristea, Michal Novak, 2017, original scientific article

Abstract: 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.
Found in: osebi
Keywords: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Published: 01.06.2017; Views: 2175; Downloads: 0
.pdf Fulltext (138,31 KB)

2.
Overview on the height of a hyperideal in Krasner hyperrings
Hashem Bordbar, Irina Cristea, Michal Novak, 2017, published scientific conference contribution abstract

Found in: osebi
Keywords: Krasner hyperring, prime hyperideal, Noetherian hyperring
Published: 30.08.2017; Views: 1641; Downloads: 0
.pdf Fulltext (1,59 MB)

3.
Neutrosophic N-Structures Applied to BCK/BCI-Algebras
Jun Young Bae, Florentin Smarandache, Hashem Bordbar, 2017, original scientific article

Abstract: 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.
Found in: osebi
Keywords: neutrosophic N-structure, neutrosophic N-subalgebra, (closed) neutrosophic N-ideal
Published: 01.12.2019; Views: 800; Downloads: 0
.pdf Fulltext (261,83 KB)

4.
Italian journal of pure and applied mathematics
2010, other performed works

Abstract: Član uredniškega odbora 2020-
Found in: osebi
Published: 15.04.2021; Views: 123; Downloads: 7
URL Fulltext (0,00 KB)
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5.
Neutrosophic sets and systems
other performed works

Abstract: urednik 2020-
Found in: osebi
Published: 15.04.2021; Views: 120; Downloads: 4
URL Fulltext (0,00 KB)
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6.
Symmetry
2009, other performed works

Abstract: recenzent 2021-
Found in: osebi
Keywords: physics, chemistry, biology, mathematics, computer science, engineering
Published: 15.04.2021; Views: 116; Downloads: 2
.docx Fulltext (266,05 KB)
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7.
Height of Prime Hyperideals in Krasner Hyperrings
Irina Cristea, Hashem Bordbar, 2017, original scientific article

Found in: osebi
Keywords: hyperring, prime/maximal hyperideal, dimension of a hyperring, height of a prime hyperideal
Published: 03.01.2018; Views: 1549; Downloads: 0
.pdf Fulltext (257,02 KB)

8.
PROPERTIES OF REDUCED MEET IDEALS IN LOWER BCK–SEMILATTICES
Hashem Bordbar, Michal Novak, Irina Cristea, Jun Young Bae, 2018, published scientific conference contribution

Found in: osebi
Keywords: BCK–algebra, ideal, lower BCK–semilattice, relative annihilator
Published: 12.02.2018; Views: 1414; Downloads: 0
.pdf Fulltext (388,89 KB)

9.
A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Cristea, 2020, original scientific article

Found in: osebi
Keywords: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Published: 28.02.2019; Views: 1228; Downloads: 0
.pdf Fulltext (320,12 KB)

10.
Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras
Hashem Bordbar, Florentin Smarandache, Young Bae Jun, G Muhiuddin, 2018, original scientific article

Abstract: Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈, ∈)-neutrosophic ideal. The re- lation between (∈, ∈)-neutrosophic ideal and (∈, ∈)-neutrosophic subalgebra in a BCK-algebra is discussed. Conditions for an (∈∈)-neutrosophic subalgebra to be a (∈, ∈)-neutrosophic ideal are provided. Using a collection of ideals in a BCK/BCI-algebra, an (∈, ∈)-neutrosophic ideal is established. Equivalence relations on the family of all (∈, ∈)-neutrosophic ideals are introduced, and re- lated properties are investigated.
Found in: osebi
Keywords: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal.
Published: 01.12.2019; Views: 826; Downloads: 0
.pdf Fulltext (6,02 MB)

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