Direct-sum cancellation for modules over real quadratic orders

DOI10.1016/J.JPAA.2006.03.001zbMath1111.13009OpenAlexW2066952264MaRDI QIDQ861851

Wolfgang Hassler

Publication date: 2 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.03.001

zbMATH Keywords

quadratic orderBass ringmodule cancellation

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Structure, classification theorems for modules and ideals in commutative rings (13C05) Algebraic numbers; rings of algebraic integers (11R04) Torsion modules and ideals in commutative rings (13C12)

Related Items (1)

Cancellation of finite-dimensional Noetherian modules

Cites Work

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• Representation type of commutative Noetherian rings. II: Local tameness
• Criteria for direct-sum cancellation, with an application to negative quadratic orders
• Cancellation over commutative rings of dimension one and two
• Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number)
• Direct sum cancellation for modules over one-dimensional rings
• Computer verification of the Ankeny--Artin--Chowla Conjecture for all primes less than $100000000000$
• Indecomposable modules of large rank over Cohen-Macaulay local rings

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