Sur les Extensions Triviales Commutatives
Annales Mathématiques Blaise Pascal, Tome 16 (2009) no. 1, pp. 139-150.

Nous caractérisons les extensions triviales semiGoldie, de cogénération finie, mininjectives et quasi-Frobeniusiens. Comme application, nous montrons que tout anneau noethérien s’injecte dans un anneau quasi-Frobeniusien.

We characterize semiGoldie, finitely cogenerated, mininjective and quasi-Frobenius trivial extensions. As application, we obtain that every nœtherian ring can be embedded in a quasi-Frobenius Ring.

DOI : https://doi.org/10.5802/ambp.260
Classification : 13B99,  13C05,  13C13
Mots clés : Extensions triviales, SemiGoldie, Mininjectif, Quasi-Frobeniusien
@article{AMBP_2009__16_1_139_0,
     author = {Kourki, Farid},
     title = {Sur les Extensions Triviales Commutatives},
     journal = {Annales Math\'ematiques Blaise Pascal},
     pages = {139--150},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {16},
     number = {1},
     year = {2009},
     doi = {10.5802/ambp.260},
     mrnumber = {2514534},
     zbl = {pre05554666},
     language = {fr},
     url = {www.numdam.org/item/AMBP_2009__16_1_139_0/}
}
Kourki, Farid. Sur les Extensions Triviales Commutatives. Annales Mathématiques Blaise Pascal, Tome 16 (2009) no. 1, pp. 139-150. doi : 10.5802/ambp.260. http://www.numdam.org/item/AMBP_2009__16_1_139_0/

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