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Lengths of factorizations of integer-valued polynomials on Krull domains with prime elements
Let D be a Krull domain admitting a prime element with finite residue field and let K be its quotient field. We show that for all positive integers k ...
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Fitting ideals of p-ramified Iwasawa modules over totally real fields
We completely calculate the Fitting ideal of the classical p -ramified Iwasawa module for any abelian extension K / k of totally real fields, using the...
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Locally finite ultrametric spaces and labeled trees
It is shown that a locally finite ultrametric space ( X , d ) is generated by a labeled tree if and only if for every open ball B ⊆ X there is a point c ...
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Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups
For any orientable finite-volume hyperbolic 3-manifold, this paper proves that the profinite isomorphism type of the fundamental group uniquely...
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The mean number of 3-torsion elements in ray class groups of quadratic fields
We determine the average number of 3-torsion elements in the ray class groups of a fixed (integral) conductor c of quadratic fields ordered by their...
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Characterization of self-majorizing elements in Archimedean vector lattices
In this paper, new purely topological approaches are furnished in order to characterize self-majorizing elements in an Archimedean vector lattice A ....
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Evaluation of a finite element formulation for the shallow water equations with numerical smoothing in the Gulf of San Jorge
The shallow water equations (SWE) are a time-dependent system of non-linear partial differential equations utilized for fluid motion where the...
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Character levels and character bounds for finite classical groups
The main results of the paper develop a level theory and establish strong character bounds for finite classical groups, in the case that the...
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The Effect of Operation Time of the Server on the Performance of Finite-Source Retrial Queues with Two-Way Communications to the Orbit
In this paper a retrial queuing system is considered with the help of two-way communication where the server is subject to random breakdowns. This is...
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Drinfeld Modules over Finite Fields
In this chapter we study Drinfeld modules defined over a finite field...
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Finite groups can be generated by a π-subgroup and a π′-subgroup
Answering a question of Dan Haran and generalizing some results of Aschbacher–Guralnick and Suzuki, we prove that given a set of primes π , any finite...
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A Study of the Small Inductive Dimension in the Area of Finite Lattices
The Dimension Theory in the class of frames was the base of many researches. Especially, the covering dimension, the quasi covering dimension, the...
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Extended finite similitude and dimensional analysis for scaling
The theory of scaling called finite similitude does not involve dimensional analysis and is founded on a transport-equation approach that is...
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Development and analysis of two new finite element schemes for a time-domain carpet cloak model
In this paper, we are concerned about a time-domain carpet cloak model, which was originally derived in our previous work Li et al. ( SIAM J. Appl....