The lattice structure of all lattice preradicals on modular complete lattices, and applications (I)

Based on the concept of a linear morphism of lattices, recently introduced in the literature, we present and investigate in this paper the latticial counterpart of the big lattice R-pr of all preradicals on the category Mod-R of all unital right R-modules over an associative ring R with identity.

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Bibliographic Details
Published in:Bulletin mathématiques de la Société des sciences mathématiques de Roumanie 2019-01, Vol.62 (110) (1), p.3-20
Main Authors: Albu, Toma, Pérez, Jaime Castro, Montes, José Ríos
Format: Article
Language:English
Online Access:Get full text
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Summary:Based on the concept of a linear morphism of lattices, recently introduced in the literature, we present and investigate in this paper the latticial counterpart of the big lattice R-pr of all preradicals on the category Mod-R of all unital right R-modules over an associative ring R with identity.
ISSN:1220-3874
2065-0264