On a new cotorsion pair
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 129-143.
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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.
@article{RSMUP_2020__144__129_0, author = {L\'aszl\'o Fuchs and Sang Bum Lee}, title = {On a new cotorsion pair}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {129--143}, volume = {144}, year = {2020}, doi = {10.4171/rsmup/61}, mrnumber = {4186451}, zbl = {1469.13020}, language = {en}, url = {http://archive.numdam.org/articles/10.4171/rsmup/61/} }
TY - JOUR AU - László Fuchs AU - Sang Bum Lee TI - On a new cotorsion pair JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2020 SP - 129 EP - 143 VL - 144 UR - http://archive.numdam.org/articles/10.4171/rsmup/61/ DO - 10.4171/rsmup/61 LA - en ID - RSMUP_2020__144__129_0 ER -
László Fuchs; Sang Bum Lee. On a new cotorsion pair. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 129-143. doi : 10.4171/rsmup/61. http://archive.numdam.org/articles/10.4171/rsmup/61/
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