On the structure of artinian rings

DOI10.1080/00927878708823539zbMath0635.16012OpenAlexW1998110558MaRDI QIDQ3774024

Horia C. Pop

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00927878708823539

zbMATH Keywords

centerAzumaya algebraJacobson radicaldirect productsemisimple ringleft artinian ringshomomorphic images of truncated noncommutative polynomial ringstruncated p-adic ring

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) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Artinian rings and modules (associative rings and algebras) (16P20)

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Cites Work

• An extension of the Noether-Skolem theorem
• Commutative rings having only a finite number of ideals
• Subrings of Artinian and Noetherian rings
• The structure of non-semisimple algebras
• On the cohomology groups of an associative algebra
• Principal Ideal Rings and Separability
• On the structure of algebras with nonzero radical
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