Classes of simple modules and triangular rings

DOI10.1080/00927879208824336zbMath0751.16001OpenAlexW2059356344MaRDI QIDQ3988696

J. F. Watters, W. Keith Nicholson

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879208824336

zbMATH Keywords

idempotentsJacobson radicaldirect summandtriangular matrix ringleft soclesimple \(R\)-modules\(I\)-finite ringsimple projective \(R\)-modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Free, projective, and flat modules and ideals in associative algebras (16D40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Jacobson radical, quasimultiplication (16N20)

Related Items (7)

On the binary system of factors of formal matrix rings ⋮ Semiartinian rings whose loewy factors are nonsingular ⋮ Projective and hereditary modules over rings of generalized matrices ⋮ Study of formal triangular matrix rings ⋮ Simple modules over generalized matrix rings. ⋮ Associated primes and primary right ideals of generalized triangular matrix rings ⋮ Morita contexts and the projective socle property

Cites Work

• Unnamed Item
• Rings of quotients and Morita contexts
• The structure of qf-3 rings with zero singular ideal^(∗)

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