Criteria for a ring to have a left Noetherian largest left quotient ring

DOI10.1007/S10468-017-9717-9zbMath1391.16023OpenAlexW2732016521WikidataQ59614065 ScholiaQ59614065MaRDI QIDQ1752934

Vladimir V. Bavula

Publication date: 24 May 2018

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-017-9717-9

zbMATH Keywords

prime radicalGoldie's theoremleft denominator setlargest left quotient ring of a ringleft localization radical of a ringleft quotient ring of a ringmaximal left denominator setore set

Mathematics Subject Classification ID

Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20) Ore rings, multiplicative sets, Ore localization (16U20) Localization and associative Noetherian rings (16P50)

Related Items (3)

Left localizable rings and their characterizations ⋮ Localizable sets and the localization of a ring at a localizable set ⋮ Criteria for a ring to have a left Noetherian left quotient ring

Cites Work

• The maximal regular Ore set of a Noetherian ring
• Ring hulls and applications.
• Criteria for a ring to have a left Noetherian left quotient ring
• The algebra of integro-differential operators on an affine line and its modules.
• The largest strong left quotient ring of a ring.
• Left localizations of left Artinian rings
• Noetherian Full Quotient Rings
• Quotient Rings of Noetherian Module Finite Rings
• New criteria for a ring to have a semisimple left quotient ring
• The Largest Left Quotient Ring of a Ring
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