Page 1

Displaying 1 – 3 of 3

Showing per page

FC-modules with an application to cotorsion pairs

Yonghua Guo (2009)

Commentationes Mathematicae Universitatis Carolinae

Let R be a ring. A left R -module M is called an FC-module if M + = Hom ( M , / ) is a flat right R -module. In this paper, some homological properties of FC-modules are given. Let n be a nonnegative integer and ℱ𝒞 n the class of all left R -modules M such that the flat dimension of M + is less than or equal to n . It is shown that ( ( ℱ𝒞 n ) , ℱ𝒞 n ) is a complete cotorsion pair and if R is a ring such that fd ( ( R R ) + ) n and ℱ𝒞 n is closed under direct sums, then ( ℱ𝒞 n , ℱ𝒞 n ) is a perfect cotorsion pair. In particular, some known results are obtained as corollaries....

Currently displaying 1 – 3 of 3

Page 1