共查询到18条相似文献,搜索用时 46 毫秒
1.
众所周知,如果扩张AB是cleft的,则B≌A#_σH.本文主要讨论B和A的余挠维数之间的关系,得出结论LCD(B)■LCD(A)+RD(H),从而推广了群环余挠维数的结论.作为主要结果的应用,还给出了几个使得LCD(B)=LCD(A)的条件. 相似文献
2.
熊涛 《纯粹数学与应用数学》2021,37(2):167-175
研究了Milnor方图上的余挠维数,然后探讨了环的余挠维数和整体维数,弱整体维数之间的关系和差别.证明了一个Prüfer整环的余挠维数不超过1当且仅当它是整体维数不超过2的Matlis整环. 相似文献
3.
本文中,受C.Nastasescu etc.和Y.Miyashita思想的影响,定义了余代数的余倾斜余模,研究得出有限内射维数的余倾斜余模的一些结论. 相似文献
4.
设H是域k上的有限维Hopf代数,A是左H-模代数.本文研究了Gorenstein平坦(余挠)维数在A-模范畴和A#H-模范畴之间的关系.利用可分函子的性质,证明了(1)设A是右凝聚环,若A#H/A可分且φ:A→A#H是可裂的(A,A)-双模同态,则l:Gwd(A)=l:Gwd(A#H);(2)若A#H/A可分且φ:A→A#H是可裂的(A,A)-双模同态,则l:Gcd(A)=l:Gcd(A#H),推广了斜群环上的结果. 相似文献
5.
本文利用箭图和拓扑伪紧空间研究了K-余代数及其表示.定义了域K上的伪紧K-余代数,研究了伪紧K-余代数和K-代数范畴之间的关系,研究了余挠对和余模逼近,描述了余倾斜余挠对.通过有限维的支撑子余代数和基本的路余代数研究了弦余代数. 相似文献
6.
通过讨论平衡对、相对于平衡对的特殊逼近和相对于平衡对的余挠对之间的关系,给出了它们的一些性质,并得到了相对完备余挠对的等价刻画. 相似文献
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作者在弱幂等完备的正合范畴(A,E)中引入了复形的新的定义,并且证明了E-正合复形的同伦范畴Kex(E)是同伦范畴KE(A)的厚子范畴.给定(A,E)中的余挠对(x,y),定义了正合范畴(CE(A),C(E))中的两个余挠对((x)E,dg(y)E)和(dg(x)E,(y)E),并且证明了当A是可数完备时,CE(A)中... 相似文献
9.
引进了相对于一个双模ω的ω-k-挠自由模,用左addR ω-逼近刻画了ω-k-挠自由模. 引进了ω-左逼近维数,描述了是k-挠自由模的k-合冲模的形式. 相似文献
10.
引进了相对于一个双模 ω-的ω-k-挠自由模,用左addR ω-逼近刻画了ω-k-挠自由模.引进了 ω-左逼近维数,描述了是k-挠自由模的k-合冲模的形式. 相似文献
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Gary Chartrand Elzbieta B. Jarrett Farrokh Saba Ebrahim Salehi Ping Zhang 《Czechoslovak Mathematical Journal》2001,51(2):351-361
For a nontrivial connected graph F, the F-degree of a vertex in a graph G is the number of copies of F in G containing . A graph G is F-continuous (or F-degree continuous) if the F-degrees of every two adjacent vertices of G differ by at most 1. All P3-continuous graphs are determined. It is observed that if G is a nontrivial connected graph that is F-continuous for all nontrivial connected graphs F, then either G is regular or G is a path. In the case of a 2-connected graph F, however, there always exists a regular graph that is not F-continuous. It is also shown that for every graph H and every 2-connected graph F, there exists an F-continuous graph G containing H as an induced subgraph. 相似文献
13.
黄兆泳 《中国科学A辑(英文版)》2002,45(7):836-844
The structure of rightF-⊥
T-approximations of any finitely generated module over an artin algebra Λ is given, relative to an additive subbifunctorF of Ext
Λ
1
(-, -) and anF-cotilting moduleT. 相似文献
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15.
Anna Draganova 《Czechoslovak Mathematical Journal》2009,59(1):51-60
For any nontrivial connected graph F and any graph G, the F-degree of a vertex v in G is the number of copies of F in G containing v. G is called F-continuous if and only if the F-degrees of any two adjacent vertices in G differ by at most 1; G is F-regular if the F-degrees of all vertices in G are the same. This paper classifies all P
4-continuous graphs with girth greater than 3. We show that for any nontrivial connected graph F other than the star K
1,k
, k ⩾ 1, there exists a regular graph that is not F-continuous. If F is 2-connected, then there exists a regular F-continuous graph that is not F-regular.
相似文献
16.
Joachim Cuntz 《K-Theory》1987,1(1):31-51
We describe the Kasparov group KK(A, B) as the set of homotopy classes of homomorphisms from an algebra qA associated with A into K B. The algebra qA consists of K-theory differential forms over A. Its construction is dual to that of M
2(A). The analysis of qA and of its interplay with M
2(A) gives the basic results of KK-theory.Partially supported by NSF. 相似文献
17.
LunChuanZHANG 《数学学报(英文版)》2003,19(2):413-416
The relation between the inseparable prime C^*-algebras and primitive C^*-algebras is studied,and we prove that prime AW^*-algebras are all primitive C^*-algebras. 相似文献
18.
Assume that each completely irrational noncommutative torus is realized as an inductive limit of circle algebras, and that for a completely irrational noncommutative torus Aw of rank m there are a completely irrational noncommutative torus Aρ of rank m and a positive integer d such that tr(Aw)=1/d.tr(Aρ).It is proved that the set of all C^*-algebras of sections of locally trivial C^*-algebra bundles over S^2 with fibres Aω has a group sturcture,denoted by π1^s(Aut(Aω)),which is isomorphic to Zif Ed>1 and {0} if d>1.Let Bcd be a cd-homogeneous C^*-algebra over S^2×T^2 of which no non-trivial matrix algebra can be factored out.The spherical noncommutative torus Sρ^cd is defined by twisting C^*(T2×Z^m-2) in Bcd ×C^*(Z^m-3) by a totally skew multiplier ρ on T^2×Z^m-2。It is shown that Sρ^cd×Mρ∞ is isomorphic to C(S^2)×C^*(T^2×Z^m-2,ρ)× Mcd(C)×Mρ∞ if and only if the set of prime factors of cd is a subset of the set of prime factors of p. 相似文献