1. HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGSHashem 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: ...the classical concept of height of a prime ideal in a ring, we proposed in... ...the notion of height of a prime hyperideal in a Krasner hyperring. In this note...
Ključne besede: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Objavljeno: 01.06.2017; Ogledov: 3777; Prenosov: 0
 Polno besedilo (138,31 KB) |
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3. Height of Prime Hyperideals in Krasner HyperringsIrina Cristea, Hashem Bordbar, 2017, izvirni znanstveni članek Najdeno v: ključnih besedah
Povzetek najdenega: ...hyperring, prime/maximal hyperideal, dimension of a hyperring, height of a...
Ključne besede: hyperring, prime/maximal hyperideal, dimension of a hyperring, height of a prime hyperideal
Objavljeno: 03.01.2018; Ogledov: 2961; Prenosov: 0
Polno besedilo (257,02 KB) |
4. A note on the support of a hypermoduleHashem 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 hypermodules,...
Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Objavljeno: 28.02.2019; Ogledov: 2624; Prenosov: 0
Polno besedilo (320,12 KB) |
5. Regular parameter elements and regular local hyperringsIrina Elena Cristea, Hashem Bordbar, 2021, izvirni znanstveni članek Najdeno v: ključnih besedah
Povzetek najdenega: ...Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local hyperring,...
Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local hyperring, parameter elements
Objavljeno: 27.01.2021; Ogledov: 1689; Prenosov: 79
 Polno besedilo (0,00 KB)
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