Dependent rings

DOI10.1007/s12215-023-00909-0MaRDI QIDQ6144959

Grigore Călugăreanu

Publication date: 30 January 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Ore domain(strong) rank conditionIBN ringdependent ringabsolutely dependent element

Mathematics Subject Classification ID

Conditions on elements (16U99) Other classes of modules and ideals in associative algebras (16D80) Ore rings, multiplicative sets, Ore localization (16U20) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Cites Work

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• Leavitt path algebras having unbounded generating number
• Exercises in modules and rings.
• The power series ring over an Ore domain need not be Ore
• IBN and related properties for rings
• The structure of Leavitt path algebras and the invariant basis number property
• The Module Type of a Ring
• The ore condition for polynomial and power series rings
• Coproducts and Some Universal Ring Constructions
• Inverses and Zero Divisors in Matrix Rings