Semilocal CS matrix rings of order \(>1\) over group algebras of solvable groups are selfinjective.

DOI10.1016/J.JALGEBRA.2003.06.008zbMath1069.16029OpenAlexW2087995327MaRDI QIDQ1883043

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

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.06.008

zbMATH Keywords

direct summandsgroup ringslocally finite groupsmatrix ringssolvable groupslinear groupssemilocal ringsessential right idealsright CS-rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (2)

When is a semilocal group algebra continuous? ⋮ Konstantin Igorevich Beidar (1951-2004)

Cites Work

• Unnamed Item
• CS matrix rings over local rings
• Observations on group rings
• On Continuous Rings and Self Injective Rings

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