Generic modules of tame algebras over real closed fields

JOURNAL OF ALGEBRA

卷:419

Article

Bautista, R.¹  Perez, E.²  Salmeron, L.¹ 

[1] Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Morelia, Michoacan, Mexico

[2] Univ Autonoma Yucatan, Fac Matemat, Merida, Mexico

关键词: Differential tensor algebras;    Ditalgebras;    Reduction functors;    Endolength;    Generic modules;    Tame algebras;    Bounded principal ideal domains;   

DOI  :  10.1016/j.jalgebra.2014.07.020

来源: Elsevier

【 摘 要 】

Given a generically tame finite-dimensional algebra Lambda over a real closed field, we describe the relations between the infinite families of indecomposable Lambda-modules with bounded dimension and the generic Lambda-modules. These are similar to those occurring for the algebraically closed field case, but the parametrizations are obtained over five particular centrally bounded principal ideal domains, instead of over rational algebras. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free