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Pregled bibliografske jedinice broj: 459335

Artin-Rees property and Artin-Rees rings


Širola, Boris
Artin-Rees property and Artin-Rees rings // Mathematical communications, 15 (2010), 2; 479-488 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 459335 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

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:

Avatar Url Boris Širola (autor)

Poveznice na cjeloviti tekst rada:

hrcak.srce.hr hrcak.srce.hr

Citiraj ovu publikaciju:

Širola, Boris
Artin-Rees property and Artin-Rees rings // Mathematical communications, 15 (2010), 2; 479-488 (međunarodna recenzija, članak, znanstveni)
Širola, B. (2010) Artin-Rees property and Artin-Rees rings. Mathematical communications, 15 (2), 479-488.
@article{article, author = {\v{S}irola, Boris}, year = {2010}, pages = {479-488}, keywords = {Noetherian ring, Artin-Rees property, Artin-Rees ring, prime ideal, completely prime ideal, localization, universal enveloping algebra}, journal = {Mathematical communications}, volume = {15}, number = {2}, issn = {1331-0623}, title = {Artin-Rees property and Artin-Rees rings}, keyword = {Noetherian ring, Artin-Rees property, Artin-Rees ring, prime ideal, completely prime ideal, localization, universal enveloping algebra} }
@article{article, author = {\v{S}irola, Boris}, year = {2010}, pages = {479-488}, keywords = {Noetherian ring, Artin-Rees property, Artin-Rees ring, prime ideal, completely prime ideal, localization, universal enveloping algebra}, journal = {Mathematical communications}, volume = {15}, number = {2}, issn = {1331-0623}, title = {Artin-Rees property and Artin-Rees rings}, keyword = {Noetherian ring, Artin-Rees property, Artin-Rees ring, prime ideal, completely prime ideal, localization, universal enveloping algebra} }

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





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