On the embedding of a commutative ring in a local ring
Gilmer, Robert ; Heinzer, William
Illinois J. Math., Tome 43 (1999) no. 3, p. 192-210 / Harvested from Project Euclid
Let $R$ be a commutative ring with identity. We consider conditions in order that there exists an embedding of $R$ in a local ring. This leads naturally to an examination of conditions in order that a quasilocal ring $(R,\mathbf{m})$ be dominated by a local ring. This, in turn, leads to a study of extensions of the residue field of a quasilocal ring.
Publié le : 1999-03-15
Classification:  13B02,  13F30
@article{1255985344,
     author = {Gilmer, Robert and Heinzer, William},
     title = {On the embedding of a commutative ring in a local ring},
     journal = {Illinois J. Math.},
     volume = {43},
     number = {3},
     year = {1999},
     pages = { 192-210},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255985344}
}
Gilmer, Robert; Heinzer, William. On the embedding of a commutative ring in a local ring. Illinois J. Math., Tome 43 (1999) no. 3, pp.  192-210. http://gdmltest.u-ga.fr/item/1255985344/