Dual dimension of modules over normalizing extensions.
Shamsuddin, Ahmad
Publicacions Matemàtiques, Tome 37 (1993), p. 355-358 / Harvested from Biblioteca Digital de Matemáticas
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Let S = Σi=1 n Rai be a finite normalizing extension of R and suppose that SM is a left S-module. Denote by crk(A) the dual Goldie dimension of the module A. We show that crk(RM) ≤ n · crk(SM) if either SM is artinian or the group homomorphism M → aiM given by x → aix is an isomorphism.

Publié le : 1993-01-01
DMLE-ID : 3580 
@article{urn:eudml:doc:41018,
     title = {Dual dimension of modules over normalizing extensions.},
     journal = {Publicacions Matem\`atiques},
     volume = {37},
     year = {1993},
     pages = {355-358},
     mrnumber = {MR1249237},
     zbl = {0806.16028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41018}
}

Shamsuddin, Ahmad. Dual dimension of modules over normalizing extensions.. Publicacions Matemàtiques, Tome 37 (1993) pp. 355-358. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41018/