Unique tensor factorization of loop-resistant algebras over a field of finite characteristic

DOI10.1006/jabr.2001.9126zbMath1012.16024OpenAlexW2082704603MaRDI QIDQ1851326

Michael Nüsken

Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9126

zbMATH Keywords

finite dimensional algebrasdirect summandstensor products of algebrasunique factorizationindecomposable algebrassums of matrix algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Cites Work

• Graph multiplication
• A cancellation theorem for artinian local algebras
• Unique tensor factorization of algebras
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