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The Upper Bound of the Representation Dimension of Artin Algebra and Loewy Length

Author: ZhouXiao
Tutor: ZhangZuo
School: Shanghai Jiaotong University
Course: Basic mathematics
Keywords: Artin algebras Representation dimension Loewy length Single- point expansion algebra
CLC: O153.3
Type: Master's thesis
Year: 2010
Downloads: 22
Quote: 0
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Abstract


Artin algebra representation dimension is introduced by M. Auslander in the 1970s , is used to measure an algebra from a finite type algebra far. Long time later , however , did not get people's attention . In recent years, with some of the basic issues of representation dimension resolved , the recovery of interest in the study of the representation dimension . The main results of this paper is the application Iyama method to estimate the upper bound of the dimension of the representation of a class of algebraic dimension limited theorem gives the the representation dimension upper bound of algebra Loewy length between the . Also consider the relationship between the expansion of a single point of the special form of algebra the Oppermann dissertation research algebra representation dimension and the Loewy length .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Abstract algebra ( Algebra ) > Ring Theory
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