Every Local Ring Is Dominated by a One-dimensional Local Ring
نویسنده
چکیده
Let (R; m) be a local (Noetherian) ring. The main result of this paper asserts the existence of a local extension ring S of R such that (i) S dominates R, (ii) the residue eld of S is a nite purely transcendental extension of R=m, (iii) dim(S) 1. In addition, it is shown that S can be obtained so that either mS is the maximal ideal of S or S is a localization of a nitely generated R-algebra.
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