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Naslov:HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
Avtorji:ID Bordbar, Hashem, Shahid Bahonar University, Iran (Avtor)
ID Cristea, Irina Elena, University of Nova Gorica, Slovenia (Avtor)
ID Novak, Michal, Brno University of Technology, Czech Republic (Avtor)
Datoteke: Gradivo nima datotek, ki so prostodostopne za javnost. Gradivo je morda fizično dosegljivo v knjižnici fakultete, zalogo lahko preverite v COBISS-u. Povezava se odpre v novem oknu
Jezik:Angleški jezik
Vrsta gradiva:Delo ni kategorizirano
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:UNG - Univerza v Novi Gorici
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.
Ključne besede:Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Verzija publikacije:Objavljena publikacija
Leto izida:2017
Št. strani:31-42
Številčenje:2, 79
PID:20.500.12556/RUNG-3106-eea6aff8-499f-20b3-44f1-8929aa52e57a Novo okno
COBISS.SI-ID:4790011 Novo okno
NUK URN:URN:SI:UNG:REP:M8RDASFO
Datum objave v RUNG:01.06.2017
Število ogledov:4697
Število prenosov:0
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Vaša ocena:Ocenjevanje je dovoljeno samo prijavljenim uporabnikom.
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Gradivo je del revije

Naslov:U.P.B. Scientific Bulletin, Series A
Leto izida:2017
ISSN:1223-7027

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