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R C * -поля

Ю.Л. Ершов, Ju. L. Eršov, Ǔ. L. Eršov, Ju. L. Eršov (1994)

Algebra i Logika

Regularly weakly based modules over right perfect rings and Dedekind domains

Michal Hrbek, Pavel Růžička (2017)

Czechoslovak Mathematical Journal

A weak basis of a module is a generating set of the module minimal with respect to inclusion. A module is said to be regularly weakly based provided that each of its generating sets contains a weak basis. We study (1) rings over which all modules are regularly weakly based, refining results of Nashier and Nichols, and (2) regularly weakly based modules over Dedekind domains.

Relative multiplication and distributive modules

José Escoriza, Blas Torrecillas (1997)

Commentationes Mathematicae Universitatis Carolinae

We study the construction of new multiplication modules relative to a torsion theory τ . As a consequence, τ -finitely generated modules over a Dedekind domain are completely determined. We relate the relative multiplication modules to the distributive ones.

Résidu de Grothendieck et forme de Chow.

Mohamed Elkadi (1994)

Publicacions Matemàtiques

We show an explicit relation between the Chow form and the Grothendieck residue; and we clarify the role that the residue can play in the intersection theory besides its role in the division problem.

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