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...

微分模的Gorenstein投射和内射复形

Keywords: 微分模,Gorenstein投射,Gorenstein内射,复形

Full-Text   Cite this paper   Add to My Lib

Abstract:

考虑微分模的Gorenstein同调理论,证明了一个微分模复形C:=((Cn,θn),dn)是Gorenstein投射的(或Gorenstein内射的)当且仅当每个层次的微分模(Cn,θn)都是Gorenstein投射的(或Gorenstein内射的),并且给出了微分模复形的Gorenstein投射维数和Gorenstein内射维数的刻画.

References

[1]  ENOCHS E E,ROZAS GARCJ R.Gorenstein injective and projective complexes[J].Communications in Algebra,1998,26:1657-1674.
[2]  VELICHE O.Gorenstein projective dimension for complexes[J].Transactions of American Mathematical Society,2005,358:1257-1283.
[3]  YANG Xiao-yan,LIU Zhong-kui.Gorenstein projective,njective,and flat complexes[J].Communications in Algebra,2011,39(5):1705-1721.
[4]  LIU Zhong-kui,ZHANG Chun-xiao.Gorenstein injective complexes of modules over Noetherian rings[J].Journal of Algebra,2009,321:1546-1554.
[5]  YANG Gang.Gorenstein projective,njective,and flat complexes[J].Acta Mathematica Sinica:Chinese Series,2011,54(3):451-460.
[6]  CARTAN H,EILENBERG S.Homological algebra[M].Princeton:Princeton University Press,1956:53-58.
[7]  WU Min.On the factorization of differential modules[C]∥Differential Equations with Symbolic Computation(DESC Book).Birkhauser:Springer,2005:239-254.
[8]  DWORK B.On the size of differential modules[J].Duke Mathematical Journal,1999,96(2):225-239.
[9]  DEVRIES J W.On Betti numbers of differential modules[D].Lincoln:Department of Mathematical Sciences,University of Nebraska-Lincoln,2011.
[10]  AVRAMOV L L,BUCHWEITZ R,IYENGAR S.Class and rank of differential modules[J].Inventiones Mathematicae,2007,169:1-35.
[11]  RINGEL C,ZHANG P.Representations of quivers over the algebra of dual numbers[J/OL].[2011-12-08].ArXiv 1112.1924.http:∥arxiv.org/abs/1112.1924.
[12]  WEI J Q.Gorenstein homological theory for differential modules[J/OL].[2012-02-19]ArXiv 1202.4157.http:∥arxiv.org/abs/1202.4157,2012.2.19.
[13]  ENOCHS E E,JENDA O M G.Relative homological algebras[M]∥De Gruyter Expositions in Mathematics.Berlin:Walter de Gruyter and Company,2000:239-283.
[14]  CHRISTENSEN L W.Gorenstein dimensions[M].Lecture Notes in Mathematics 1747.Berlin:SpringerVerlag,2000:91-112.
[15]  ENOCHS E E,JENDA O M G.Gorenstein injective and projective modules[J].Mathematische Zeitschrift,1995,220(4):611-633.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133