In cotorsion theories, the cotorsion pairs of strongly flat and Matlis-cotorsion modules, and of flat and Enochs-cotorsion modules play important roles.We introduce a new cotorsion pair that in general lies properly between these two (in the partial order generally accepted for cotorsion pairs), and discuss its properties over commutative rings. In particular, we characterize the commutative rings over which this is a perfect cotorsion pair. Our results may shed more light on the relation between the two old cotorsion pairs.
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László Fuchs, Sang Bum Lee, On a new cotorsion pair. Rend. Sem. Mat. Univ. Padova 144 (2020), pp. 129–143DOI 10.4171/RSMUP/61