A reduction theorem for the primitivity of tensor products

DOI10.1007/BF01214712zbMath0403.16007OpenAlexW2074371424MaRDI QIDQ1256025

Richard Resco

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172900

zbMATH Keywords

FaithfulPolynomial RingsIdealizerPrimitive AlgebraPrimitivity of Tensor ProductsReduction TheoremSemimaximal Right Ideal

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) 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) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (8)

On the tensor products of algebras ⋮ Left ideals of polynomial rings in several indeterminates ⋮ On Tensor Products and Extended Centroids ⋮ Stably just infinite rings. ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Associative rings ⋮ Primitive ideals of certain Noetherian algebras ⋮ An example of a primitive polynomial ring

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