Test modules for flatness
Rafail AlizadeYaşar University, Izmir, Turkey
Yilmaz DurğunUniversität Zürich, Switzerland
A right -module is said to be a test module for flatness (shortly: an f-test module) provided for each left -module , Tor implies is flat. f-test modules are flat version of the Whitehead test modules for injectivity defined by Trlifaj. In this paper the properties of f-test modules are investigated and are used to characterize various families of rings. The structure of a ring over which every (finitely generated) right -module is flat or f-test is investigated. Abelian groups that are Whitehead test modules for injectivity or f-test are characterized.
Cite this article
Rafail Alizade, Yilmaz Durğun, Test modules for flatness. Rend. Sem. Mat. Univ. Padova 137 (2017), pp. 75–91DOI 10.4171/RSMUP/137-4