Sums of simple subalgebras

DOI10.1007/BF02366343zbMath0938.16009OpenAlexW2032606848MaRDI QIDQ1296168

Otto H. Kegel, Yu. A. Bakhturin

Publication date: 16 August 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02366343

zbMATH Keywords

finite dimensional algebrassimple algebrassums of simple subalgebras

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) Finite-dimensional division rings (16K20)

Related Items (6)

SUMS OF SIMPLE AND NILPOTENT LIE SUBALGEBRAS ⋮ Semisimple decompositions of Lie algebras and prehomogeneous modules ⋮ Unital decompositions of the matrix algebra of order three ⋮ Simple Decompositions of Simple Special Jordan Superalgebras ⋮ Decompositions of algebras and post-associative algebra structures ⋮ Simple Decompositions of Simple Jordan Algebras

Cites Work

• A sum of two locally nilpotent rings may be not nil
• Zur Nilpotenz gewisser assoziativer Ringe
• Some examples of locally finite simple Lie algebras
• Locally Finite-Dimensional Algebras
• A primitive ring which is a sum of two Wedderburn radical subrings
• The sum of two locally nilpotent rings may contain a free non-commutative subring
• Rings that are sums of two locally nilpotent subrings
• Universal sums of abelian subalgebras

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