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Algebra in a Localic Topos with Applications to Ring Theory (Lecture Notes in Mathematics)
Algebra in a Localic Topos with Applications to Ring Theory (Lecture Notes in Mathematics)
Date: 23 May 2011, 10:13

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Sheaves of algebras on a topological space appear in man). problems in mathematics and their interest has no longer to be demonstrated. The purpose of this publication is to study the localizations of the category of sheaves of It-algebras, where ~ is a finitary algebraic theory, and the extent to which it characterizes the topological base space. The techniques developed to solve these problems, applied to the case of modules on a ring R, provide new results on pure ideals and the representation of rings.

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