CS matrix rings over local rings

DOI10.1016/S0021-8693(03)00128-5zbMath1029.16017MaRDI QIDQ1398152

Pramod Kanwar, J. B. Srivastava, Surender Kumar Jain, Kostia I. Beidar

Publication date: 29 July 2003

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

zbMATH Keywords

group algebrasfinite \(p\)-groupsdirect summandsmatrix ringscommutative Noetherian local ringsessential right idealsright CS ringsclassical quotient ringsalmost right self-injective ringslocal QF rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (4)

Semilocal CS matrix rings of order \(>1\) over group algebras of solvable groups are selfinjective. ⋮ When is a semilocal group algebra continuous? ⋮ Konstantin Igorevich Beidar (1951-2004) ⋮ ALMOST INJECTIVE MODULES — A BRIEF SURVEY

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• On the symmetry of the Goldie and CS conditions for prime rings
• Nonsingular Semiperfect Cs-Rings II
• $KD_\infty $ is a CS-algebra
• Polycyclic group rings whose principal ideals are projective

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