Displaying similar documents to “On the intersection multiplicity of images under an etale morphism”

On Strong Going-Between, Going-Down, And Their Universalizations, II

David E. Dobbs, Gabriel Picavet (2003)

Annales mathématiques Blaise Pascal

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We consider analogies between the logically independent properties of strong going-between (SGB) and going-down (GD), as well as analogies between the universalizations of these properties. Transfer results are obtained for the (universally) SGB property relative to pullbacks and Nagata ring constructions. It is shown that if A B are domains such that A is an LFD universally going-down domain and B is algebraic over A , then the inclusion map A [ X 1 , , X n ] B [ X 1 , , X n ] satisfies GB for each n 0 . However, for any...

Local ε 0 -characters in torsion rings

Seidai Yasuda (2007)

Journal de Théorie des Nombres de Bordeaux

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Let p be a rational prime and K a complete discrete valuation field with residue field k of positive characteristic p . When k is finite, generalizing the theory of Deligne [], we construct in [] and [] a theory of local ε 0 -constants for representations, over a complete local ring with an algebraically closed residue field of characteristic p , of the Weil group W K of K . In this paper, we generalize the results in [] and [] to the case where k is an arbitrary perfect field.

On the maximal spectrum of commutative semiprimitive rings

K. Samei (2000)

Colloquium Mathematicae

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The space of maximal ideals is studied on semiprimitive rings and reduced rings, and the relation between topological properties of Max(R) and algebric properties of the ring R are investigated. The socle of semiprimitive rings is characterized homologically, and it is shown that the socle is a direct sum of its localizations with respect to isolated maximal ideals. We observe that the Goldie dimension of a semiprimitive ring R is equal to the Suslin number of Max(R).

Integral closures of ideals in the Rees ring

Y. Tiraş (1993)

Colloquium Mathematicae

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The important ideas of reduction and integral closure of an ideal in a commutative Noetherian ring A (with identity) were introduced by Northcott and Rees [4]; a brief and direct approach to their theory is given in [6, (1.1)]. We begin by briefly summarizing some of the main aspects.