scientific article

zbMath0674.16004MaRDI QIDQ3828152

George M. Bergman

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Galois connectionlocally finite algebrasdecomposable elementstensor product algebrahereditary radical classendomorphism rings of modules over n-firsinternal closure conditionsJacobson closed classesJacobson radical algebralocally nilpotent algebrasmatrix algebraic algebrasmatrix-nil algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Radicals and radical properties of associative rings (16Nxx)

Related Items (6)

Simple associative algebras with finite \(\mathbb{Z}\)-grading ⋮ Prime ideals and radicals of centred extensions and tensor products ⋮ On nil algebras and a problem of Passman concerning nilpotent free algebras ⋮ Infinite dimensional, affine nil algebras \(A \otimes A^{\mathrm{op}}\) and \(A \otimes A\) exist ⋮ The nil radical of power series rings ⋮ Polynomial rings over nil rings need not be nil

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