Nilpotent elements in integral representation rings of Hopf-algebra orders in group algebras of prime order

DOI10.1016/0021-8693(83)90105-9zbMath0524.16003OpenAlexW2057196890MaRDI QIDQ585327

A. L. Jensen

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90105-9

zbMATH Keywords

nilpotent elementsgroup algebratensor productdirect sumcounitfinitely-generated torsion free modulesHopf algebra orderideal of left integralsintegral representation ring

Mathematics Subject Classification ID

Group rings (16S34) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

Nilpotent elements in integral representation rings of Hopf-algebra orders in group algebras of prime order

Cites Work

• Nilpotent elements in integral representation rings of Hopf-algebra orders in group algebras of prime order
• Invariants of integral representations
• Hopf algebra orders determined by group valuations
• The modular representation algebra of a finite group
• The integral representation ring of a finite group
• Characters of Hopf algebras
• Orders in Hopf algebras
• Nilpotent Elements in Rings of Integral Representations
• Integral Representation Algebras
• A survey of integral representation theory
• Group schemes of prime order
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