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This paper enlarges the list of properties of the congruence sequences starting from the universal relation and successively performing the operations of lower T and lower K. Two classes of inverse semigroups, namely Eω-Clifford semigroups and Eω-E-reflexive semigroups, are studied. ((ω T ) K ) T and (((ω T ) K ) T ) K are found to be the least Eω-Clifford and Eω-E-reflexive congruences on S, respectively. Characterizations of the congruences ((ω T ) K ) T and (((ω T ) K ) T ) K are developed. The lattices of all Eω-Clifford and Eω-E-reflexive congruences are also studied. 相似文献
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Alain Plagne 《Israel Journal of Mathematics》2012,191(2):739-754
We continue our investigation on how small a sumset can be in a given abelian group. Here small takes into account not only the size of the sumset itself but also the number of elements which are repeated at least twice. A function λ G (r, s) computing the minimal size (in this sense) of the sum of two sets with respective cardinalities r and s is introduced. (Lower and upper) bounds are obtained, which coincide in most cases. While upper bounds are obtained by constructions, lower bounds follow in particular from the use of a recent theorem by Grynkiewicz. 相似文献
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Emmanuel Philippe 《Geometriae Dedicata》2010,149(1):155-160
We show the length spectral rigidity for the family of fuchsian triangular groups. 相似文献
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The lattices generated by the families of quasicontinuous and τ-quasicontinuous functions are described. 相似文献
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In this paper, we introduce the classes of (B, ρ)-type I and generalized (B, ρ)-type I, and derive various sufficient optimality conditions and mixed type duality results for multiobjective control problems under (B, ρ)-type I and generalized (B, ρ)-type I assumptions. 相似文献
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Aleksander Ivanov 《Order》2011,28(2):267-271
We show how generic permutations of ω can be presented by products of permutations preserving dense orders. 相似文献
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V. Yu. Slyusarchuk 《Ukrainian Mathematical Journal》2011,62(12):1978-1988
We present conditions under which a linear homogeneous second-order equation is nonoscillatory on a semiaxis and conditions under which its solutions have infinitely many zeros. 相似文献
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D. O. Revin 《Siberian Mathematical Journal》2011,52(2):340-347
Given a set π of primes, say that the Baer-Suzuki π-theorem holds for a finite group G if only an element of O π(G) can, together with each conjugate element, generate a π-subgroup. We find a sufficient condition for the Baer-Suzuki π-theorem to hold for a finite group in terms of nonabelian composition factors. We show also that in case 2 ∉ π the Baer-Suzuki π-theorem holds for every finite group. 相似文献
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We study necessary and sufficient conditions for the smoothness of (not necessarily polynomial) splines of fourth order. We establish the uniqueness of a space of splines of maximal smoothness and prove embeddings on refined grids. We also obtain the corresponding calibration relations. Bibliography: 12 titles. 相似文献
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J. Simon 《Ricerche di matematica》2010,59(2):245-255
We show that the common identification of H with its dual space in the famous functional frame V ⊂ H = H′ ⊂ V′ is incompatible with the distributional frame for some standard pdes and we recall an error related to this unnecessary identification which is repeated from years. 相似文献
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We consider an overloaded multi-server multi-class queueing model where customers may abandon while waiting to be served. For class i, service is provided at rate μ i , and abandonment occurs at rate θ i . In a many-server fluid regime, we show that prioritizing the classes in decreasing order of c i μ i /θ i asymptotically minimizes an ergodic holding cost, where c i denotes the equivalent holding cost per unit time for class i. 相似文献
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In the framework of the renormalization group and the ɛ-expansion, we propose expressions for the β-function and anomalous dimensions in terms of renormalized one-irreducible functions. These expressions are convenient for numerical calculations. We choose the renormalization scheme in which the quantities calculated using R operations are represented by integrals that do not contain singularities in ɛ. We develop a completely automated calculation system starting from constructing diagrams, determining relevant subgraphs, combinatorial coefficients, etc., up to determining critical exponents. As an example, we calculate the critical exponents of the φ 3 model in the order ɛ 4 . 相似文献
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M. V. Zubkov 《Russian Mathematics (Iz VUZ)》2009,53(7):65-69
In this paper we consider strongly η-representable sets. We prove that the union of Σ 2 0 and Π 2 0 -sets is strongly η-representable. 相似文献