On Multiplication Algebras

DOI10.2307/2000039zbMath0609.16018OpenAlexW4232471826MaRDI QIDQ3749195

David R. Finston

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000039

zbMATH Keywords

Jacobson radicaldivision ringfinitely generated algebramultiplication algebramultiplication idealalgebra of endomorphismsproduct of simple algebrasproduct of fieldsproduct of full matrix ringssemi simple artinian

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Division rings and semisimple Artin rings (16Kxx)

Related Items (6)

\(\varepsilon \)-complemented algebras ⋮ Some properties of the automorphisms of a Bernstein algebra ⋮ Algebras whose multiplication algebra is semiprime. A decomposition theorem ⋮ \(\pi\)-complemented algebras through pseudocomplemented lattices ⋮ Polynomial Algebras Have Polynomial Growth ⋮ Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators

Cites Work

• Unnamed Item
• On the multiplication ideal of a nonassociative algebra
• On the zeros of polynomials over arbitrary finite dimensional algebras
• Nicht assoziative separable Algebren über Ringen
• Radikale von separablen Algebren über Ringen
• A note on non-associative algebras
• The radical of a non-associative algebra

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