共查询到19条相似文献,搜索用时 61 毫秒
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集对Fuzzy格及其在格表示论中的应用 总被引:1,自引:0,他引:1
用幂集格构造了集对 Fuzzy 格(这与用整数对构造有理数集有相似之处),并用它证明了完整的软代数表示定理,即定义了到自身的映射且有最大元和最小元的格为软代数的充要条件是它与某个集对 Fuzzy 格的子格同构.这样,与分配格在幂集 Boole 格中表示相对应,软代数在集对 Fuzzy 格中有表示,在理论上是很完美的 相似文献
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本文利用完备Brouwer格L及L上的无穷V-分配t-模定义分配格M上的TL理想,讨论一些基本性质,并给出由L子集生成的TL理想的计算公式. 相似文献
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研究了格序代数的商及其一些重要的代数性质.给出了格序代数的商的概念,定义了商f-代数、商几乎f-代数和商d-代数,并给出其等价刻画.讨论了这三类格序代数的商的半素性和交换性质,得到了这些性质的若干刻画. 相似文献
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Zili Chen 《Positivity》2009,13(1):51-60
Let E and F be Banach lattices, T, K : E → F be such that 0 ≤ T ≤ K and T is either a lattice homomorphism or almost interval-preserving. In this paper we will deduce that (1) If K is AM-compact then T also is AM-compact; (2) If either E′ or F has an order continuous norm and K is compact, then T is compact as well; (3) If K is weakly compact then so is T. Some related results are also obtained.
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We derive infinitely many conservation laws for some multidimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schrödinger equation, modified lattice Boussinesq equation, Hietarinta’s Boussinesq-type equations, Schwarzian lattice Boussinesq equation, and Toda-modified lattice Boussinesq equation. 相似文献
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设{Xv:v∈Zd}是一族独立同分布的随机变量序列,对Zd上的任意一路径π,定义S(π)=∑v∈πXv,记Mn=maxπ∈Π0(n)S(π),Π0(n)表示从原点出发大小为n的自不相交的路径的全体.论文讨论Mn的性质,得到了类似完全收敛性的结果,即对任意的ε>0,∑∞n=11nPMnn-M>ε<∞.另外还讨论了Xv允许取负值的情形,得到类似的结果,从而推广了Gandolfi和Kesten所研究的贪婪格点路径模型. 相似文献
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G. U. Urazboev 《Theoretical and Mathematical Physics》2008,154(2):260-269
We describe a method for integrating the Toda lattice with a self-consistent source using the inverse scattering method for
a discrete Sturm-Liouville operator with moving eigenvalues.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 154, No. 2, pp. 305–315, February, 2008. 相似文献
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Martha L. H. Kilpack 《代数通讯》2018,46(4):1387-1396
We say a lattice L is a subgroup lattice if there exists a group G such that Sub(G)?L, where Sub(G) is the lattice of subgroups of G, ordered by inclusion. We prove that the lattice of closure operators which act on the subgroup lattice of a finite group G is itself a subgroup lattice if and only if G is cyclic of prime power order. 相似文献
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We study the problem of constructing rank- lattice rules which have good bounds on the ``weighted star discrepancy'. Here the non-negative weights are general weights rather than the product weights considered in most earlier works. In order to show the existence of such good lattice rules, we use an averaging argument, and a similar argument is used later to prove that these lattice rules may be obtained using a component-by-component (CBC) construction of the generating vector. Under appropriate conditions on the weights, these lattice rules satisfy strong tractability bounds on the weighted star discrepancy. Particular classes of weights known as ``order-dependent' and ``finite-order' weights are then considered and we show that the cost of the construction can be very much reduced for these two classes of weights.
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F. Maffioli 《Discrete Applied Mathematics》2006,154(9):1401-1407
Let M=(E,F) be a rank-n matroid on a set E and B one of its bases. A closed set θ⊆E is saturated with respect to B, or B-saturated, when |θ∩B|=r(θ), where r(θ) is the rank of θ.The collection of subsets I of E such that |I∩θ|?r(θ), for every closed B-saturated set θ, turns out to be the family of independent sets of a new matroid on E, called base-matroid and denoted by MB. In this paper we prove some properties of MB, in particular that it satisfies the base-axiom of a matroid.Moreover, we determine a characterization of the matroids M which are isomorphic to MB for every base B of M.Finally, we prove that the poset of the closed B-saturated sets ordered by inclusion is isomorphic to the Boolean lattice Bn. 相似文献