全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

广义路代数的实现

Keywords: 广义路代数,路代数,箭图

Full-Text   Cite this paper   Add to My Lib

Abstract:

设K为代数闭域,Δ=(Δ0,Δ1)为有限箭图,A={Ai|i∈Δ0}为一集含单位元的有限维basicK-代数.通过构造箭图Γ,证明了广义路代数R(Δ,A)为路代数KΓ的商代数,并的到了一些有趣的推论.

References

[1]  AUSLANDER M,REITEN I,SMALΦS O.Representation theory of artin algebras[M].Cambridge,Massachusetts,USA:Cambridge University Press,1995:49-78.
[2]  ASSEM I,SIMSON D,SKOWRO SKI A.Elements of the representation theory of associative algebras:volume 1[M].Cambridge,Massachusetts,USA:Cambridge University Press,2006:41-68.
[3]  WEIBEL C A.An introduction to homological algebra[M].Cambridge,Massachusetts,USA:Cambridge University Press,1994:300-361.
[4]  LI F,LIU G X.Generalized path coalgebras and generalized dual Gabriel theorem[J].Acta Math Sinca:Chinese Series,2008,51(5):853-862.
[5]  GABRIEL P.Unzerlegbare darstellungenⅠ[J].Manuscripta Mathematica,1972,6(1):71-103.
[6]  COELHO F U,LIU S X.Generalized path algebras,interactions between ring theory and repersentations of algebras(Muricia)[C]∥Leture Notes in Pure and Appl Math.Dekker,New York:[s.n.],2000:53-66.
[7]  ZHANG S,ZHANG Y Z.Structures and representations of generalized path algebras[J].Alg Rep Theory,2007,10(2):117-134.
[8]  ZHANG S C,ZHANG Y Z,GUO X J.Generalized path algebras and point Hopf algebras[J].J Math Research&Exposition,2009,29(3):395-406.
[9]  RINGEL C M.The preprojective algebra of a quiver,in algebras and modulesⅡ[C]∥CMS Conf Proc.[S.l.]:Amer MathSoc,1998:467-480.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133