On a new cotorsion pair
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 129-143.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

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 
@article{RSMUP_2020__144__129_0,
     author = {Fuchs, L\'aszl\'o and Lee, Sang Bum},
     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://www.numdam.org/articles/10.4171/rsmup/61/}
}
TY  - JOUR
AU  - Fuchs, László
AU  - Lee, Sang Bum
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://www.numdam.org/articles/10.4171/rsmup/61/
DO  - 10.4171/rsmup/61
LA  - en
ID  - RSMUP_2020__144__129_0
ER  - 
%0 Journal Article
%A Fuchs, László
%A Lee, Sang Bum
%T On a new cotorsion pair
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2020
%P 129-143
%V 144
%U http://www.numdam.org/articles/10.4171/rsmup/61/
%R 10.4171/rsmup/61
%G en
%F RSMUP_2020__144__129_0
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. http://www.numdam.org/articles/10.4171/rsmup/61/

Cité par Sources :