3.—A Note on Projective Modules

DOI10.1017/S0080454100012528zbMath0332.16010MaRDI QIDQ4097058

Patrick F. Smith

Publication date: 1976

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (5)

Idempotent ideals and nonfinitely generated projective modules over integral group rings of polycyclic-by-finite groups. ⋮ When every projective module is a direct sum of finitely generated modules ⋮ Ideally nil clean rings ⋮ Modules with many homomorphisms. ⋮ Modules

Cites Work

• Projective modules
• Projective modules over semilocal rings
• Integral group rings of solvable finite groups have no idempotent ideals
• A counter-example in ring theory and homological algebra
• Infinite multiplication of ideals in \(\aleph_ 0\)-hereditary rings
• The Grothendieck ring of a finite group
• Semi-Prime Rings with Maximum Condition
• On the Dimension of Group Rings
• The Radical and Semi-Simplicity for Arbitrary Rings

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