共查询到20条相似文献,搜索用时 187 毫秒
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本文定义了单位过滤k-代数和非单位过滤k-代数的局部Hochschild同调和局部循环同调,给出了它们之间的局部Connes长正合列.进一步利用循环同调来计算局部循环同调的短正合列公式,讨论了关于过滤k-代数局部循环同调的切除定理. 相似文献
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借助酉系范畴中的正则对象研究了有局部单位半群的同调分类问题.通过研究正则对象中元素的性质,建立了正则性质与余直积以及正合序列之间的联系;通过探索正则对象与主弱平坦对象以及投射对象的关系,给出了有局部单位半群同调分类的刻画. 相似文献
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弱半局部环的同调性质 总被引:1,自引:0,他引:1
环R称为弱半局部环,如果R/J(R)是Von Neumann正则环.给出了一个交换环是弱半局部环的充分且必要条件;还讨论了交换凝聚弱半局部环及其模的同调维数. 相似文献
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给出了广义Poisson超代数的同调和上同调群的基本性质.特别是,通过Hochschild上同调以及长正合列,建立了广义Poisson超代数上同调群的理论,刻画了这种代数的低阶上同调群.最后,决定了5-正合列以及它的泛中心扩张的核. 相似文献
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给出了广义Poisson超代数的同调和上同调群的基本性质.特别是,通过Hochschild上同调以及长正合列,建立了广义Poisson超代数上同调群的理论,刻画了这种代数的低阶上同调群.最后,决定了5-正合列以及它的泛中心扩张的核. 相似文献
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本文讨论了分次模范畴等价的两个分次代数的循环同调群之间的关系以及范畴gr-R,GR-R上的分次循环同调的形式. 相似文献
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Tran Tuan Nam 《代数通讯》2013,41(2):440-453
We study left-derived functors of the generalized I-adic completion and compute these functors by generalized local homology functors. 相似文献
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本文讨论了分次模范畴等价的两个分次代数的循环同调群之间的关系以及范畴gr-R,GR-R上的分次循环同调的形式. 相似文献
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P. Seibt 《K-Theory》1990,4(2):143-155
Local (cyclic) homology of filtered associative algebras is defined and discussed. In the commutative case, it fits naturally in the setting of (formal) de Rham cohomology; we thus obtain a satisfactory complement to a result of Feigin and Tsygan. There is a spectral sequence from discrete (cyclic) homology of the associated graded algebra to local (cyclic) homology of the original filtered algebra; we exhibit manageable conditions on its convergence. 相似文献
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We study Hochschild and cyclic homology of finite type algebras using abelian stratifications of their primitive ideal spectrum.
Hochschild homology turns out to have a quite complicated behavior, but cyclic homology can be related directly to the singular
cohomology of the strata. We also briefly discuss some connections with the representation theory of reductive p-adic groups. 相似文献
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Jerry M. Lodder 《K-Theory》1996,10(2):175-196
We establish a rational isomorphism between certain relative versions of Hermitian K-theory and the dihedral homology of simplicial Hermitian rings. This is the dihedral analogue of Goodwillie's result for cyclic homology and algebraic K-theory. In particular, we describe involutions on (negative) cyclic homology and the K-theory of simplicial rings. We show that Goodwillie's map from K-theory to negative cyclic homology can be chosen to preserve involutions. By work of Burghelea and Fiedorowicz the invariants of the involution on K-theory can be identified with symmetric Hermitian K-theory. Finally, we show how the author's chain complex defining dihedral homology can be extended to the left to capture the invariants of the involution on negative cyclic homology.Supported by New Mexico State University, grant No. RC90-051. 相似文献
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For every Ore extension we construct a chain complex giving its Hochschild homology. As an application we compute the Hochschild and cyclic homology of an arbitrary multiparametric affine space and the Hochschild homology of the algebra of differential operators over this space, in the generic case. 相似文献
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Charles Weibel 《Proceedings of the American Mathematical Society》1996,124(6):1655-1662
Using hypercohomology, we can extend cyclic homology from algebras to all schemes over a ring . By `extend' we mean that the usual cyclic homology of any commutative algebra agrees with the cyclic homology of its corresponding affine scheme.
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Andrzej Sitarz 《K-Theory》2005,35(1-2):187-198
The twisted Hochschild homology groups of generic quantum hyperplanes are calculated using the Koszul resolution. For the
example of the two-dimensional quantum plane also the twisted cyclic homology groups are determined.
*Partially supported by Polish State Committee for Scientific Research (KBN) under grant 2 P03B 022 25 相似文献
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We compute the cyclic homology of the algebraR[t]/(P(t)) relative to an arbitrary integral domainR. As an application, we compute the cyclic homology of number rings.Supported by N.S.F. Grant No. DMS-8807203. 相似文献