Pregled bibliografske jedinice broj: 459335
Artin-Rees property and Artin-Rees rings
Artin-Rees property and Artin-Rees rings // Mathematical communications, 15 (2010), 2; 479-488 (međunarodna recenzija, članak, znanstveni)
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Naslov
Artin-Rees property and Artin-Rees rings
Autori
Širola, Boris
Izvornik
Mathematical communications (1331-0623) 15
(2010), 2;
479-488
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Noetherian ring ; Artin-Rees property ; Artin-Rees ring ; prime ideal ; completely prime ideal ; localization ; universal enveloping algebra
Sažetak
We study the problem of which ideals in Noetherian rings have the Artin-Rees property, and want to obtain new deals with this property from those for which we know that stisfy it. We show that the class AR-Ring_c, of all (Noetherian) Artn-Rees rings in which every prime ideal is moreover completely prime, is closed under localization at arbitrary denominator set. We discuss and illustrate our reults on two particular examples: the enveloping algebra of sl(2) and the tree-dimensional Heisenberg Lie algebra.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372781-2811 - Omotačke algebre Liejevih algebri i njihovi moduli (Širola, Boris, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Boris Širola
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts