搜索结果: 46-58 共查到“同调代数”相关记录58条 . 查询时间(0.663 秒)
F-signature of pairs and the asymptotic behavior of Frobenius splittings
F-signature Cartier algebra F-pure F-regular splitting prime F-splitting ratio
2011/8/26
Abstract: We generalize $F$-signature to pairs $(R,D)$ where $D$ is a Cartier subalgebra on $R$ as defined by the first two authors. In particular, we show the existence and positivity of the $F$-sign...
Decomposition of Polynomials
Decomposition of Polynomials Commutative Algebra Symbolic Computation
2011/8/25
Abstract: This diploma thesis is concerned with functional decomposition $f = g \circ h$ of polynomials. First an algorithm is described which computes decompositions in polynomial time. This algorith...
On $p-$Ring
von Neumann regular ring, p-ring, trivial rings extension and amalgamation of rings
2011/8/24
Abstract: In this paper, we introduced the concept of a $p$-ideal for a given ring. We provide necessary and sufficient condition for $\dfrac{R[x]}{(f(x))}$ to be a $p$-ring, where $R$ is a finite $p$...
$n$-strongly Gorenstein rings
strongly (n-)Gorenstein projective injective modules Gorenstein global dimensions
2011/8/24
Abstract: This paper introduces and studies a particular subclass of the class of commutative rings with finite Gorenstein global dimension.
On a Conjecture on the weak global dimension of Gaussian rings
Gaussian rings weak dimension content non-noetherian rings
2011/8/24
Abstract: Bazzoni and Glaz conjecture that the weak global dimension of a Gaussian ring is 0,1 or \infty. In this paper, we prove their conjecture in all cases except when R is a non-reduced local Gau...
Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra
Gr¨obner-Shirshov basis non-associative algebra commutative algebra
2010/11/26
We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbi...
Hopf cyclic cohomology and transverse characteristic classes
Hopf cyclic cohomology transverse characteristic classes
2010/11/30
By refining the cyclic cohomological apparatus for computing the Hopf cyclic cohomology of the Hopf algebras associated to infinite primitive Cartan-Lie pseudogroup, we explicitly identify, as a Hopf ...
In a previous paper [5] we have introduced the ortho-homological triangles, which are triangles that are orthological and homological simultaneously.
关于诱导克莱门斯-施米德正合序列的复形:孤立奇点的情况
正合序列 克莱门斯-施米德
2009/9/18
一个很自然的问题是如何找到一组复形,使得它们诱导出上述的同调群.这样,我们就可以在复形的水平上研究同调群的性质.在一般的情形下,要找到这样的复形并不是很容易的.当单参数代数簇的奇异纤维上的奇点是孤立奇点时,我们得到了这样的复形(详见下面§2(2.13)),这就是本文主要的结果.
半单弱Hopf代数的作用
弱Hopf代数 Gorenstein代数 内射维数
2008/11/28
令H是半单弱Hopf代数, A是左H-模代数.我们证明了正则A-模的内射维数, A#H-模A的内射维数和正则A#H-模的内射维数三者是相等的. 而且,利用H在A上的不动点代数我们给出了A是Gorenstein代数的充要条件.
关于E型群高次层上同调群的一个零化性质
2007/12/13
令G是特征数p>0的代数闭域上的单连通半单线性代数群.设p≥h-1(h是G的根系的Coxeter数),ρ是正根之和半.[1]证明:若λ=0或λ是“强支配权”,则对所有i>0有$H^i(G/B,S^n(u^{\ast}\otimes\lambda)=0$,式中$u^{\ast}=(LieU)^{\ast}$,U是G的Borel子群B的幺幂根基.特别,当G是A,B,C或D型群时,上述零化性质对所有λ...
球上继维丛的同调群
2007/12/12
本文讨论的对像是 n 维球上某些特殊维丛的同调群的结构.所用的方法基本上是作者之一(江泽涵)以前计算 n 维球上线素流形的同调群的方法.用这些方法可以比较直接地得到王宪钟氏以前在这方面的结果,并且在某些特殊情形下可以有较强的结果.主要的结果如下:设 X 为 n 维球上的一个(?)维丛,其(?)维 F 为连通的有限复合形,其同调群.$H^{n-1}(F)\approx G$,$H^s(F)\appr...