Geodesic
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 𝒮ℱ,ℳ𝒞 of strongly flat and Matlis-cotorsion modules, and (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.

Publié le :
DOI : 10.4171/rsmup/61
Classification : 13, 00 
Fuchs, László; Lee, Sang Bum. On a new cotorsion pair. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 129-143. doi: 10.4171/rsmup/61
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     title = {On a new cotorsion pair},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {129--143},
     year = {2020},
     volume = {144},
     doi = {10.4171/rsmup/61},
     mrnumber = {4186451},
     zbl = {1469.13020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/rsmup/61/}
}
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