Artinian rings with restricted primeness conditions

DOI10.1016/0021-8693(89)90155-5zbMath0677.16009OpenAlexW2068052538MaRDI QIDQ1123243

Ming-Sun Li, Julius M. Zelmanowitz

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90155-5

zbMATH Keywords

complete blocked triangular matrix ringfull matrix rings over division ringsleft artinian left C-prime ringsleft artinian left C-semiprime rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Artinian rings and modules (associative rings and algebras) (16P20) Division rings and semisimple Artin rings (16Kxx)

Related Items (14)

Link between a natural centralizer and the smallest essential ideal in structural matrix rings ⋮ Automorphism groups of generalized triangular matrix rings. ⋮ A note on intermediate normalising extensions ⋮ On p.p. structural matrix rings. ⋮ MATRIX RINGS OF INVARIANT SUBSPACES ⋮ Do isomorphic structural matrix rings have isomorphic graphs? ⋮ The minimum number of idempotent generators of a complete blocked triangular matrix algebra ⋮ On subrings of simple artinian rings ⋮ Generalized blocked triangular matrix rings associated with finite abelian centralizer near-rings ⋮ Directed graphs and Lie superalgebras of matrices ⋮ Matrix rings satisfying column sum conditions versus structural matrix rings ⋮ Complete blocked triangular matrix rings over a Noetherian ring ⋮ Triangular matrix representations ⋮ GOOD IDEALS IN MATRIX RINGS OVER COMMUTATIVE PIR's

Cites Work

• Unnamed Item
• Torsion-free modules and rings
• Lectures on injective modules and quotient rings
• The structure of certain artinian rings with zero singular ideal
• Potent Rings

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