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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: ...of a prime hyperideal in a Krasner hyperring. In this note we first generalize some...
Keywords: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Published: 01.06.2017; Views: 3381; 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
Summary of found: ...Krasner hyperring, prime hyperideal, Noetherian hyperring...
Keywords: Krasner hyperring, prime hyperideal, Noetherian hyperring
Published: 30.08.2017; Views: 2708; Downloads: 0
.pdf Fulltext (1,59 MB)

3.
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...
Keywords: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Published: 28.02.2019; Views: 2306; Downloads: 0
.pdf Fulltext (320,12 KB)

4.
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...
Keywords: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local hyperring, parameter elements
Published: 27.01.2021; Views: 1347; Downloads: 44
URL Fulltext (0,00 KB)
This document has many files! More...

5.
ON HYPERIDEALS OF KRASNER HYPERRINGS BASED ON DERIVED UNITARY RINGS
Seyed Mousavi, Morteza Jafarpour, Hojat Babaei, Irina Cristea, 2022, original scientific article

Found in: ključnih besedah
Summary of found: ...(Krasner) hyperring, strongly regular relation, λe-closed hy- perideal....
Keywords: (Krasner) hyperring, strongly regular relation, λe-closed hy- perideal.
Published: 11.05.2022; Views: 320; Downloads: 0
.pdf Fulltext (603,12 KB)

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