Almost perfect domains
Volume 95 / 2003
Colloquium Mathematicum 95 (2003), 285-301
MSC: Primary 13G05; Secondary 13C12.
DOI: 10.4064/cm95-2-11
Abstract
Commutative rings all of whose quotients over non-zero ideals are perfect rings are called almost perfect. Revisiting a paper by J. R. Smith on local domains with TTN, some basic results on these domains and their modules are obtained. Various examples of local almost perfect domains with different features are exhibited.