Principal Ideal Rings and Separability

DOI10.1112/plms/s3-45.2.300zbMath0507.16002OpenAlexW2089294480MaRDI QIDQ4744410

K. R. McLean

Publication date: 1982

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-45.2.300

zbMATH Keywords

Jacobson radicalfinitely generated moduleseparable algebraprincipal right ideal ringcomplete local SPRI-ringsdirect decomposition for SPRI-ringsmatrix rings over artinian local SPRI-ringsprime principal right ideal ringsprime SPRI-rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noncommutative local and semilocal rings, perfect rings (16L30) Divisibility, noncommutative UFDs (16U30) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (4)

On self-duality of ring extensions over quasi-frobenius rings ⋮ On the structure of artinian rings ⋮ Normalising elements and radicals, I. ⋮ Associative rings

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