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ON SEMIGENERIC TAMENESS AND BASE FIELD EXTENSION

Part of: Representation theory of rings and algebras

Published online by Cambridge University Press:  21 July 2015

EFRÉN PÉREZ
EFRÉN PÉREZ*
Affiliation:
Facultad de Matemáticas de la Universidad Autónoma de Yucatán, Periférico Norte, Tablaje 13615, junto al local del FUTV, Mérida, Yucatán, México e-mail: jperezt@uady.mx, efren_math@yahoo.com.mx
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Abstract

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The notions of central endolength and semigeneric tameness are introduced, and their behaviour under base field extension for finite-dimensional algebras over perfect fields are analysed. For k a perfect field, K an algebraic closure and Λ a finite-dimensional k-algebra, here there is a proof that Λ is semigenerically tame if and only if Λ ⊗kK is tame.

MSC classification

Primary: 16G20: Representations of quivers and partially ordered sets
Secondary: 16G60: Representation type (finite, tame, wild, etc.)
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 58 , Issue 1 , January 2016 , pp. 39 - 53
Copyright
Copyright © Glasgow Mathematical Journal Trust 2015 

References

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