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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: ključnih besedah
Summary of found: ...the notion of height of a prime hyperideal in a Krasner hyperring. In this note...
Keywords: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Published: 01.06.2017; Views: 3110; Downloads: 0
.pdf Fulltext (138,31 KB)

2.
A note on composition (m,n)-hyperrings
Irina Cristea, Morteza Norouzi, 2017, original scientific article

Abstract: Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of composition structure for (m,n)-hyperrings and study the connections with composition hyperrings. Moreover we show that particular strong endomorphisms of (m,n)-hyperrings can determine the composition structure of such (m,n)-hyperrings. Finally, the three isomorphism theorems are presented in the case of composition (m, n)-hyperrings, showing that they are not a pure extension of those for composition hyperrings.
Found in: ključnih besedah
Keywords: n-hypergroup, (m, n)-hyperring, composition hyperideal
Published: 13.07.2017; Views: 2680; Downloads: 0
.pdf Fulltext (884,23 KB)

3.
Hyperrings with n -ary composition hyperoperation
Morteza Norouzi, Irina Cristea, 2017, original scientific article

Abstract: Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of $n$-ary composition hyperring and study the connections with composition hyperrings. Moreover we show that special strong multiendomorphisms of hyperrings can determine the $n$-ary composition structure of a such hyperring and also a subclass of $n$-ary composition hyperrings. Finally, the three isomorphism theorems are studied in the framework of $n$-ary composition hyperrings.
Found in: ključnih besedah
Keywords: n-ary hypergroup, (m, n)-hyperring, composition hyperring, n-ary composition hyperideal
Published: 10.07.2017; Views: 2646; Downloads: 0
.pdf Fulltext (355,83 KB)

4.
Overview on the height of a hyperideal in Krasner hyperrings
Hashem Bordbar, Irina Cristea, Michal Novak, 2017, published scientific conference contribution abstract

Found in: ključnih besedah
Keywords: Krasner hyperring, prime hyperideal, Noetherian hyperring
Published: 30.08.2017; Views: 2455; Downloads: 0
.pdf Fulltext (1,59 MB)

5.
Height of Prime Hyperideals in Krasner Hyperrings
Irina Cristea, Hashem Bordbar, 2017, original scientific article

Found in: ključnih besedah
Summary of found: ...hyperring, prime/maximal hyperideal, dimension of a hyperring, height of a...
Keywords: hyperring, prime/maximal hyperideal, dimension of a hyperring, height of a prime hyperideal
Published: 03.01.2018; Views: 2349; Downloads: 0
.pdf Fulltext (257,02 KB)

6.
Yaqoob, Naveed (SAR-MU4-CSC); Aslam, Muhammad [Aslam, Muhammad4] (PAK-QAZAM); Hila, Kostaq (AL-UGJN-MCS); Davvaz, Bijan (IR-YAZD-M) Rough prime bi-Γ-hyperideals and fuzzy prime bi-Γ-hyperideals of Γ-semihypergroups.
Irina Cristea, 2018, review, book review, critique

Found in: ključnih besedah
Summary of found: ...fuzzy set, rough set, hyperideal, semihypergroup...
Keywords: fuzzy set, rough set, hyperideal, semihypergroup
Published: 18.06.2018; Views: 2296; Downloads: 0
.pdf Fulltext (104,02 KB)

7.
Breakable semihypergroups
Dariush Heidari, Irina Cristea, 2019, original scientific article

Found in: ključnih besedah
Summary of found: ...breakable semigroup, semihypergroup, hyperideal, symmetry...
Keywords: breakable semigroup, semihypergroup, hyperideal, symmetry
Published: 17.01.2019; Views: 1744; Downloads: 0
.pdf Fulltext (264,83 KB)

8.
A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Cristea, 2020, original scientific article

Found in: ključnih besedah
Summary of found: ...Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support...
Keywords: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Published: 28.02.2019; Views: 2073; Downloads: 0
.pdf Fulltext (320,12 KB)

9.
Regular parameter elements and regular local hyperrings
Irina Elena Cristea, Hashem Bordbar, 2021, original scientific article

Found in: ključnih besedah
Summary of found: ...Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local hyperring, parameter...
Keywords: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local hyperring, parameter elements
Published: 27.01.2021; Views: 1087; Downloads: 34
URL Fulltext (0,00 KB)
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