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11.
L. J. Ratliff Jr. D. E. Rush Jr. 《Transactions of the American Mathematical Society》2000,352(4):1647-1674
The main theorem characterizes, in terms of bracket powers, analytic spread one ideals in local rings. Specifically, let be regular nonunits in a local (Noetherian) ring and assume that , the integral closure of , where . Then the main result shows that for all but finitely many units in that are non-congruent modulo and for all large integers and it holds that for and not divisible by , where is the -th bracket power of . And, conversely, if there exist positive integers , , and such that has a basis such that , then has analytic spread one.
12.
We study the prolongation of semibasic projectable tangent valued k-forms on fibered manifolds with respect to a bundle functor F on local isomorphisms that is based on the flow prolongation of vector fields and uses an auxiliary linear r-th order connection on the base manifold, where r is the base order of F. We find a general condition under which the Frölicher-Nijenhuis bracket is preserved. Special attention is paid to the curvature of connections. The first order jet functor and the tangent functor are discussed in detail. Next we clarify how this prolongation procedure can be extended to arbitrary projectable tangent valued k-forms in the case F is a fiber product preserving bundle functor on the category of fibered manifolds with m-dimensional bases and local diffeomorphisms as base maps. 相似文献
13.
14.
We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor.
Applications on cup-one products, Toda brackets and Whitehead products are considered.
The second author was partially supported by the Spanish Ministry of Education and Science under MEC-FEDER grants MTM2004-01865
and MTM2004-03629, the postdoctoral fellowship EX2004-0616, and a Juan de la Cierva research contract. 相似文献
15.
It is shown that, up to a diffeomorphism, the linearized Poisson structure does not depend on the choice of the transversal near the zero section. 相似文献
16.
We investigate solutions for a particular class of linear equations in dendriform algebras. Motivations as well as several applications are provided. The latter follow naturally from the intimate link between dendriform algebras and Rota–Baxter operators, e.g. the Riemann integral map or Jackson's q-integral. 相似文献
17.
John D. Ramshaw 《Journal of statistical physics》1989,56(1-2):149-158
Phase space density representations of inviscid fluid dynamics were recently discussed by Abarbanel and Rouhi. Here it is shown that such representations may be simply derived and interpreted by means of the Liouville equation corresponding to the dynamical system of ordinary differential equations that describes fluid particle trajectories. The Hamiltonian and Poisson bracket for the phase space density then emerge as immediate consequences of the corresponding structure of the dynamics. For barotropic fluids, this approach leads by direct construction to the formulation presented by Abarbanel and Rouhi. Extensions of this formulation to inhomogeneous incompressible fluids and to fluids in which the state equation involves an additional transported scalar variable are constructed by augmenting the single-particle dynamics and phase space to include the relevant additional variable. 相似文献
18.
The purpose of the paper is to construct a supersymmetric Lagrangian within the framework of classical mechanics which would
be regarded as a candidate for passage to supersymmetric quantum mechanics.
The authors felicitate Prof. D S Kothari on his eightieth birthday and dedicate this paper to him on this occasion. 相似文献
19.
用分析热力学的观点和方法研究了温度的相对论变换公式,得到了与Planck,Einstein和de Broglie完全相同的结果:T=1-β2T0;分析热力学的特色和 优点是,在推演过程 中根本不需要δQ=1-βδQ0这一可能引起争议的和p=p0这 一显而易见的相对论变换公式,它们是作为附带结果出现的.
关键词:
分析热力学
相对论热力学
平衡态热力学
热力学基本Poisson括号 相似文献
20.
THEHAMILTONIANSTBUCTURESOF3DODEWITHTIME-INDEPENDENTINVARIANTSGuoZhong-heng(郭仲衡)(DepartmentofMathematics,PekingUniversity,Beij... 相似文献