On zero-dimensional rings of quotients and the geometry of minimal primes (Q1098897)

This paper examines how the structure of the minimal spectrum Min(A) of a commutative ring A is reflected in its maximal flat epimorphic ring of quotients \(Q_{tot}(A)\) and in its classical ring of quotients \(Q_{cl}(A)\). In contrast to earlier work [see e.g. \textit{E. Matlis}, Ill. J. Math. 27, 353-391 (1983; Zbl 0519.13004)], the nilpotent radical of A is not assumed to be zero here. The main theme is to supply necessary and sufficient conditions, in terms of Min(A), for \(Q_{tot}(A)\) or \(Q_{cl}(A)\) to have dimension zero.