The largest strong left quotient ring of a ring.

DOI10.1016/J.JALGEBRA.2015.04.037zbMath1334.16033arXiv1310.1077OpenAlexW2964270245MaRDI QIDQ2515604

Vladimir V. Bavula

Publication date: 5 August 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1077

zbMATH Keywords

Goldie theoremleft quotient ringsmaximal left denominator setsmaximal left quotient ringsstrong left localization radicalstrong left quotient rings of rings

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) Associative rings of fractions and localizations (16S85)

Related Items (5)

Criteria for a ring to have a left Noetherian left quotient ring ⋮ Criteria for a ring to have a left Noetherian largest left quotient ring ⋮ The classical left regular left quotient ring of a ring and its semisimplicity criteria ⋮ The largest strong left quotient ring of a ring. ⋮ Left localizations of left Artinian rings

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• Quotient Rings with Minimum Condition on Right Ideals
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