Displaying similar documents to “Generalized SV-modules.”

On tilting and cotilting-type modules

Gabriella D'Este (2005)

Commentationes Mathematicae Universitatis Carolinae

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We use modules of finite length to compare various generalizations of the classical tilting and cotilting modules introduced by Brenner and Butler [BrBu].

When is the category of flat modules abelian?

J. García, J. Martínez Hernández (1995)

Fundamenta Mathematicae

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Let Fl(R) denote the category of flat right modules over an associative ring R. We find necessary and sufficient conditions for Fl(R) to be a Grothendieck category, in terms of properties of the ring R.

Algebraic properties of rings of continuous functions

M. Mulero (1996)

Fundamenta Mathematicae

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This paper is devoted to the study of algebraic properties of rings of continuous functions. Our aim is to show that these rings, even if they are highly non-noetherian, have properties quite similar to the elementary properties of noetherian rings: we give going-up and going-down theorems, a characterization of z-ideals and of primary ideals having as radical a maximal ideal and a flatness criterion which is entirely analogous to the one for modules over principal ideal domains. ...