Article ID Journal Published Year Pages File Type
4597010 Journal of Pure and Applied Algebra 2011 11 Pages PDF
Abstract

Given a pair of G-covering functors F1:R→R1 and F0:R→R0 such that F0 is a Galois covering, the inequality for all z,t, of the dimensions of the first kind module sets under some assumptions is proved (Theorem 2.2). The result is applied to show the equality of the module variety dimensions for some special degenerations of algebras. Certain consequences for preserving wild and tame representation types by G-covering functors are also presented (Theorems 2.4 and 3.1).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory