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1.
In this article, we continue to investigate the monoids over which all right S-acts satisfying condition (P) are strongly flat, and we obtain some new classes of monoids, thereby extending all previous results in this area. 相似文献
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In this article we characterize monoids over which every right S-act has a strongly flat (condition (P)) cover. Similar to the perfect monoids, such monoids are characterized by condition (A) and having strongly flat (condition (P)) cover for each cyclic right S-act. We also give a new characterization for perfect monoids as monoids over which every strongly flat right S-act has a projective cover. 相似文献
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设S是幺半群.本文介绍并研究了正则右系的一个推广.一个右S-系A称为C(P)系,如果A的所有循环子系满足条件(P).本文证明了右C(P)系形成了右S-系的一个新的类,同时,C(P)性质为幺半群同调分类研究提供了新思路. 相似文献
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Communicated by 相似文献
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本文引入了条件(PW),讨论了条件(PW)与条件(P)、条件(PE)之间的关系,刻画了幺半群上S-系的平坦性. 相似文献
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We provide sufficient conditions for the existence and uniqueness of normal forms of sequences of HNN extensions defined by Bokut′. Furthermore, we show that under an assumption, which holds for various applications, such normal forms always exist (but might not be unique). The conditions are amenable to be used in automatic theorem provers. We discuss also how to obtain a Gröbner–Shirshov basis from the rewrite rules of Bokut′ normal forms under certain assumptions. Finally, we provide an application drawn from a paper of Aanderaa and Cohen to illustrate the sufficiency conditions. 相似文献
8.
Qiao HuSheng 《Semigroup Forum》2005,71(1):134-139
By condition (PWP), some new characterizations of right cancellative monoids are given. 相似文献
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Daniel Chan 《Algebras and Representation Theory》2010,13(1):119-126
We show that Hilbert schemes for the quantum plane are projective. Using similar techniques, we also show that some collections
of torsion sheaves are bounded. 相似文献
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假定Γ是一个有限的、单的、无向的且无孤立点的图,G是Aut(Γ)的一个子群.如果G在Γ的边集合上传递,则称Γ是G-边传递图.我们完全分类了当G为一个有循环的极大子群的素数幂阶群时的G-边传递图.结果为:设图Γ含有一个阶为pn(p是素数,n≥2)的自同构群,且G有一个极大子群循环,则Γ是G-边传递的,当且仅当Γ同构于下列图之一1)pmK1,pn-1-m,0≤m≤n-1;2)pmK1,pn-m,0≤m≤n;3)pmKp,pn-m-1,0≤m≤n-2;4)pn-mCpm,pm≥3,m<n;5)2n-2K1,1;6)pn-1-mCpm,pm≥3,m≤n-1;7)2pn-mCpm,pm≥3,m≤n-1;8)2pn-mK1,pm,0≤m≤n;9)pn-mK1,2pm,0≤m≤n;10)pn-mK2,pm,0<m≤n;11)C(2pn-m,1,pm);12)pkC(2pm-k,1,pn-m),0<k<m,0<m≤n;13)(t-s,2m)C(2m 1/(t-s,2m),1,2n-1-m),其中0≤m≤n-1,2n-2(s-1)≡0(mod 2m),t≡1(mod 2),s(≠)t(mod 2m),1≤s≤2m,1≤t≤2n-1;14)∪p i=1 Ci p n-1,其中Ci p n-1=Ca1a1 [1 (i-1)pn-2]a 1 2[1 (i--1)p n-2]…a 1 (pn-1-1)[1 (i-1)p n-2]≌Cp n-1,i=1,2,…,p;15)∪2 i=1 Ci 2n-1,其中Ci 2n-1=Ca1a 1 [1 (i-1)(2n-2-1)]a1 2[1 (i-1)(2n-2-1)]…a1 (2n-1-1)[1 (i-1)(2n-2-1)]≌C2n-1,i=1,2. 相似文献
13.
Bin Wang 《Compositio Mathematica》1999,115(3):303-327
Let X be an m dimensional smooth projective variety with a Kähler metric. We construct a metrized line bundle
with a rational section s over the product
of Chow varieties
such that
for disjoint A, B. That gives an answer to a part of Barry Mazur's proposal in a private communication to Bruno Horris about the Archimedean height pairing A, B on a smooth projective variety X. 相似文献
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M -solid monoids of hypersubstitutions of type τ = (2). 相似文献
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给出了两个幺半群的半直积及圈积为右(左)逆半群的充分必要条件,从而推广了[2]中两个幺半群的半幺直积和圈积为逆半群的充分必要条件. 相似文献
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J. L. Blasco 《Acta Mathematica Hungarica》2000,88(3):221-226
We study some problems about the existence and construction of certain inverse-closed subalgebras of C(X) which are not of the form C(Y) for any space Y.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
19.
C. J. Maxson 《Results in Mathematics》2004,45(1-2):106-114
Let ε be the collection of those rings S such that, for every S-module V and every homogeneous function ?. V → V, ?(sv) = s?(v), s ∈ S, v ∈ V, ? is linear on V. In this paper we characterize those Stanley-Reisner rings, R, such that D(R) is in ε. 相似文献
20.
Franz Luef 《Journal of Functional Analysis》2009,257(6):1921-93
In the present investigation we link noncommutative geometry over noncommutative tori with Gabor analysis, where the first has its roots in operator algebras and the second in time-frequency analysis. We are therefore in the position to invoke modern methods of operator algebras, e.g. topological stable rank of Banach algebras, to display the deeper properties of Gabor frames. Furthermore, we are able to extend results due to Connes and Rieffel on projective modules over noncommutative tori to Banach algebras, which arise in a natural manner in Gabor analysis. The main goal of this investigation is twofold: (i) an interpretation of projective modules over noncommutative tori in terms of Gabor analysis and (ii) to show that the Morita-Rieffel equivalence between noncommutative tori is the natural framework for the duality theory of Gabor frames. More concretely, we interpret generators of projective modules over noncommutative tori as the Gabor atoms of multi-window Gabor frames for modulation spaces. Moreover, we show that this implies the existence of good multi-window Gabor frames for modulation spaces with Gabor atoms in e.g. Feichtinger's algebra or in Schwartz space. 相似文献