Splitting torsion theories over commutative rings

DOI10.1017/S0004972700024709zbMath0322.13003OpenAlexW2053951106MaRDI QIDQ4083540

Thomas S. Shores, James J. Kuzmanovich, John D. Fuelberth

Publication date: 1975

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700024709

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Projective and free modules and ideals in commutative rings (13C10) Ideals and multiplicative ideal theory in commutative rings (13A15) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (1)

Modules

Cites Work

• Finiteness of the injective hull
• Some aspects of Goldie's torsion theory
• The singular submodule splits off
• The torsion submodule splits off
• Injectivity of Direct Sums
• The Space of Minimal Prime Ideals of a Commutative Ring
• On the Injective Hulls of Semisimple Modules
• Singular torsion and the splitting properties

This page was built for publication: Splitting torsion theories over commutative rings