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

3.
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: 1549; Downloads: 0
.pdf Fulltext (257,02 KB)

4.
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,...
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)

5.
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,...
Keywords: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local hyperring, parameter elements
Published: 27.01.2021; Views: 282; Downloads: 9
URL Fulltext (0,00 KB)
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