The primitivity of free products of associative algebras

DOI10.1016/0021-8693(78)90023-6zbMath0393.16020OpenAlexW2091526093MaRDI QIDQ1252405

A. I. Lichtman

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90023-6

zbMATH Keywords

Faithful Irreducible Representation of Lie AlgebrasPrimitivity of Free Products of Associate AlgebrasRings over a Skew Field

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Centralizing and normalizing extensions (16S20)

Related Items

Some more primitive group rings ⋮ Skew group rings and free rings ⋮ GROUP RINGS OF COUNTABLE NON-ABELIAN LOCALLY FREE GROUPS ARE PRIMITIVE ⋮ The primitivity of semigroup algebras of free products ⋮ Associative rings ⋮ The normal closure of coproducts of domains

Cites Work

• On the free product of associative rings. II: The case of (skew) fields
• Group rings of free products are primitive
• On the Primitivity of the Group Algebra