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
Předmět:
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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