The Largest Left Quotient Ring of a Ring

DOI10.1080/00927872.2015.1082577zbMath1353.16037arXiv1101.5107OpenAlexW1644890267MaRDI QIDQ5740588

Vladimir V. Bavula

Publication date: 27 July 2016

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

Full work available at URL: https://arxiv.org/abs/1101.5107

zbMATH Keywords

largest left quotient ring of a ringdenominator setlargest regular left Ore set of a ringclassical left quotient ring of a ringmaximal left quotient rings of a ring

Mathematics Subject Classification ID

Rings of differential operators (associative algebraic aspects) (16S32) Ore rings, multiplicative sets, Ore localization (16U20) Localization and associative Noetherian rings (16P50) Associative rings of fractions and localizations (16S85)

Related Items (12)

Left localizable rings and their characterizations ⋮ Orders in Artinian rings, Goldie’s Theorem and the largest left quotient ring of a ring ⋮ Localizations of a ring at localizable sets, their groups of units and saturations ⋮ Localizable sets and the localization of a ring at a localizable set ⋮ The global dimension of the algebras of polynomial integro-differential operators 𝕀n and the Jacobian algebras 𝔸n ⋮ The algebra of integro-differential operators on an affine line and its modules. ⋮ 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 algebra of polynomial integro-differential operators is a holonomic bimodule over the subalgebra of polynomial differential operators. ⋮ Weakly left localizable rings ⋮ On a partially ordered set associated to ring morphisms

Cites Work

• The algebra of integro-differential operators on an affine line and its modules.
• The algebra of integro-differential operators on a polynomial algebra
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