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1.
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: ključnih besedah
Povzetek najdenega: ...of a prime hyperideal in a Krasner hyperring. In this note we first generalize some...
Ključne besede: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Objavljeno: 01.06.2017; Ogledov: 3276; Prenosov: 0
.pdf Polno besedilo (138,31 KB)

2.
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: ključnih besedah
Povzetek najdenega: ...Krasner hyperring, prime hyperideal, Noetherian hyperring...
Ključne besede: Krasner hyperring, prime hyperideal, Noetherian hyperring
Objavljeno: 30.08.2017; Ogledov: 2608; Prenosov: 0
.pdf Polno besedilo (1,59 MB)

3.
A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Cristea, 2020, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of...
Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Objavljeno: 28.02.2019; Ogledov: 2219; Prenosov: 0
.pdf Polno besedilo (320,12 KB)

4.
Regular parameter elements and regular local hyperrings
Irina Elena Cristea, Hashem Bordbar, 2021, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local...
Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local hyperring, parameter elements
Objavljeno: 27.01.2021; Ogledov: 1246; Prenosov: 40
URL Polno besedilo (0,00 KB)
Gradivo ima več datotek! Več...

5.
ON HYPERIDEALS OF KRASNER HYPERRINGS BASED ON DERIVED UNITARY RINGS
Seyed Mousavi, Morteza Jafarpour, Hojat Babaei, Irina Cristea, 2022, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...(Krasner) hyperring, strongly regular relation, λe-closed hy- perideal....
Ključne besede: (Krasner) hyperring, strongly regular relation, λe-closed hy- perideal.
Objavljeno: 11.05.2022; Ogledov: 218; Prenosov: 0
.pdf Polno besedilo (603,12 KB)

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