Zassenhaus rings as idealizations of modules

DOI10.1216/JCA-2010-2-2-139zbMath1237.13008OpenAlexW2043852530MaRDI QIDQ412491

Manfred Dugas

Publication date: 4 May 2012

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

Full work available at URL: https://projecteuclid.org/euclid.jca/1275403634

zbMATH Keywords

trivial extensionsidealization of modulesZassenhaus rings and modules

Mathematics Subject Classification ID

Graded rings (13A02) Ideals and multiplicative ideal theory in commutative rings (13A15) Torsion-free groups, infinite rank (20K20) Ideals in associative algebras (16D25)

Related Items

Homomorphisms of Finitary Incidence Algebras, Local multiplication maps on F[x]

Cites Work

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• Zassenhaus algebras.
• Idealization of a module
• Left rigid rings.
• Torsion-free E-modules
• Large \(E\)-modules exist
• Quasi-localizations of \(\mathbb{Z}\).
• An extension of Zassenhaus' theorem on endomorphism rings
• Rings with Zassenhaus Families of Ideals