JournalsrsmupVol. 144pp. 129–143

On a new cotorsion pair

  • László Fuchs

    Tulane University, New Orleans, USA
  • Sang Bum Lee

    Sangmyung University, Seoul, Republic of Korea
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Abstract

In cotorsion theories, the cotorsion pairs SF,MC\mathcal {SF,MC} of strongly flat and Matlis-cotorsion modules, and (F,EC)(\mathcal {F,EC}) 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.

Cite this article

László Fuchs, Sang Bum Lee, On a new cotorsion pair. Rend. Sem. Mat. Univ. Padova 144 (2020), pp. 129–143

DOI 10.4171/RSMUP/61