共查询到20条相似文献,搜索用时 15 毫秒
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Walker M. White 《Mathematical Logic Quarterly》2003,49(6):603-614
We investigate the computational complexity the class of Γ‐categorical computable structures. We show that hyperarithmetic categoricity is Π11‐complete, while computable categoricity is Π04‐hard. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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We study ω‐categorical weakly o‐minimal expansions of Boolean lattices. We show that a structure ?? = (A,≤, ?) expanding a Boolean lattice (A,≤) by a finite sequence I of ideals of A closed under the usual Heyting algebra operations is weakly o‐minimal if and only if it is ω‐categorical, and hence if and only if A/I has only finitely many atoms for every I ∈ ?. We propose other related examples of weakly o‐minimal ω‐categorical models in this framework, and we examine the internal structure of these models. 相似文献
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The Rudin‐Keisler ordering of ultrafilters is extended to complete Boolean algebras and characterised in terms of elementary embeddings of Boolean ultrapowers. The result is applied to show that the Rudin‐Keisler poset of some atomless complete Boolean algebras is nontrivial. 相似文献
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In this short paper we analyze the Markov Chain associated with Least Recently Used (LRU) cache replacement scheme. The eigenvalues and their multiplicities of this chain are determined using basic linear algebra along with induction. 相似文献
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H.P. Williams 《Journal of Global Optimization》2000,18(2):129-141
A Linear Programme (LP) involves a conjunction of linear constraints and has a well defined dual. It is shown that if we allow the full set of Boolean connectives {, , } applied to a set of linear constraints we get a model which we define as a Logical Linear Programme (LLP). This also has a well defined dual preserving most of the properties of LP duality. Generalisations of the connectives are also considered together with the relationship with Integer Programming formulation. 相似文献
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Miroslav Novotný 《Czechoslovak Mathematical Journal》2006,56(2):389-402
Mono-unary algebras may be used to construct homomorphisms, subalgebras, and direct products of algebras of an arbitrary type. 相似文献
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We first give an example of a rigid structure of computable dimension 2 such that the unique isomorphism between two non-computably isomorphic computable copies has Turing degree strictly below , and not above . This gives a first example of a computable structure with a degree of categoricity that does not belong to an interval of the form for any computable ordinal α. We then extend the technique to produce a rigid structure of computable dimension 3 such that if , , and are the degrees of isomorphisms between distinct representatives of the three computable equivalence classes, then each . The resulting structure is an example of a structure that has a degree of categoricity, but not strongly. 相似文献
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Ekaterina B. Fokina Iskander Kalimullin Russell Miller 《Archive for Mathematical Logic》2010,49(1):51-67
Defining the degree of categoricity of a computable structure M{mathcal{M}} to be the least degree d for which M{mathcal{M}} is d-computably categorical, we investigate which Turing degrees can be realized as degrees of categoricity. We show that for all n, degrees d.c.e. in and above 0 (n) can be so realized, as can the degree 0 (ω). 相似文献
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The simplified methodology for obtaining the Lie algebra structures of nonlinear evolution equations
The technique for obtaining the prolongation structure of differential equations is simplified. This new simplified method is used to obtain the Lie algebra structure of the Burgers–KdV equation. 相似文献
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我们证明了蕴涵BCK-代数的伴随半群是一个上半格;具有条件(s)的蕴涵BCK-代数的伴随半群是一个广义布尔代数。更进一步证明了有界蕴涵BCK-代数的伴随半群是一个布尔代数。 相似文献
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Roger Bielawski 《Mathematische Nachrichten》2023,296(1):122-129
We show that -invariant hypercomplex structures on (open subsets) of regular semisimple adjoint orbits in correspond to algebraic curves C of genus , equipped with a flat projection of degree k, and an antiholomorphic involution covering the antipodal map on . 相似文献
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We review the derived algebraic geometry of derived zero loci of sections of vector bundles, with particular emphasis on derived critical loci. In particular we some of the structures carried by derived critical loci: the homotopy Batalin-Vilkovisky structure, the action of the 2-monoid of the self-intersection of the zero section, and the derived symplectic structure of degree −1. We also show how this structure exists, more generally, on derived lagrangian intersections inside a symplectic algebraic manifold. 相似文献
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《Annals of Pure and Applied Logic》2023,174(2):103204
In the context of metric structures introduced by Ben Yaacov, Berenstein, Henson, and Usvyatsov [3], we exhibit an explicit encoding of metric structures in countable signatures as pure metric spaces in the empty signature, showing that such structures are universal for bi-interpretation among metric structures with positive diameter. This is analogous to the classical encoding of arbitrary discrete structures in finite signatures as graphs, but is stronger in certain ways and weaker in others. There are also certain fine grained topological concerns with no analog in the discrete setting. 相似文献
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In Tang and Bai [Math Nachr. 2012;285:922–935] classified a class of non-graded left-symmetric algebraic structures on the Witt algebra under a certain rational condition. In this note, we show that this rational condition is not necessary. This leads to a more elegant classification of the left-symmetric algebraic structures and Novikov algebraic structures on the Witt algebra. 相似文献
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Mihai Prunescu 《Mathematical Logic Quarterly》2003,49(2):210-213
We prove that all infinite Boolean rings (algebras) have the property P ≠ NP according to the digital (binary) nondeterminism. 相似文献
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Robert R. Bruner Lê M. Hà Nguyê n H. V. Hung 《Transactions of the American Mathematical Society》2005,357(2):473-487
Let be the algebraic transfer, which is defined by W. Singer as an algebraic version of the geometrical transfer . It has been shown that the algebraic transfer is highly nontrivial and, more precisely, that is an isomorphism for . However, Singer showed that is not an epimorphism. In this paper, we prove that does not detect the nonzero element for every . As a consequence, the localized given by inverting the squaring operation is not an epimorphism. This gives a negative answer to a prediction by Minami.