On the connection between the representation type of an algebra and its lattice of preradicals.
Autor: | Fernández-Alonso, Rogelio, Gavito, Silvia, Pérez-Terrazas, Jesús Efrén |
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Zdroj: | Communications in Algebra; 2018, Vol. 46 Issue 1, p176-190, 15p |
Abstrakt: | In this paper, we study lattices of preradicals which are not small classes (in which case we say that the corresponding rings arep-large), and specially we consider some infinite representation type algebras. We construct an injective assignment between lattices of preradicals, using a full functor between the corresponding categories of modules, that satisfies certain conditions. We show that the polynomial ring over any field isp-large, and we use this fact to provide examples and some classes of algebras (both tame and wild) which arep-large. [ABSTRACT FROM PUBLISHER] |
Databáze: | Complementary Index |
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