The main purpose of this paper is a wide generalization of one of the results abstract
algebraic geometry begins with, namely of the fact that the prime spectrum Spec (R) Spec …

A topological space X is called spectral if every nonempty irreducible closed subset of X is
the closure of a unique point, and the set Q (X) of quasi-compact open subsets of X …

0. Introduction. Let<€ be the category of commutative rings with unit, and regard Spec (as in
[1]) as a contra variant functor from# to 3~, the category of topological spaces and …

0. A topological space is called spectral provided it is compact, sober and coherent. It is well
known that the prime ideal space of a commutative ring with unit, under the Zariski topology …

We call a topological space X minspectral if it is homeomorphic to the space of minimal
prime ideals of a commutative ring A in the usual (hull-kernel or Zariski) topology (see [2, p …

This book is of interest to students as well as experts in the area of real algebraic geometry,
quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory …

The spectra are numerous and various. We propose a general definition in terms of
categories and functors. If CJ: AB is a functor, the spectrum of an object B of C3 relatively to II …

Spectra for commutative algebraists Page 164 http://dx. doi. org/10.1090/conm/436/08408
Contemporary Mathematics Volume 436, 2007 Spectra for commutative algebraists. JPC …

A topological version of Hilbert's Nullstellensatz - ScienceDirect Skip to main contentSkip to
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Let us say that spectral synthesis holds for A (with M discrete or not) if each closed ideal is
the intersection of regular maximal ideals.(Historically and logically the above label should …