Turning retractions of an algebra into an algebra.
Mašulović, Dragan (2004)
Novi Sad Journal of Mathematics
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Mašulović, Dragan (2004)
Novi Sad Journal of Mathematics
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Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama (2011)
Formalized Mathematics
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In this article, we formalize integral linear spaces, that is a linear space with integer coefficients. Integral linear spaces are necessary for lattice problems, LLL (Lenstra-Lenstra-Lovász) base reduction algorithm that outputs short lattice base and cryptographic systems with lattice [8].
Augusto Ferrante, Harald K. Wimmer (2013)
Special Matrices
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Let V and W be matrices of size n × pk and qm × n, respectively. A necessary and sufficient condition is given for the existence of a triple (A,B,C) such that V a k-step reachability matrix of (A,B) andW an m-step observability matrix of (A,C).
Vladimír Olejček (2012)
Kybernetika
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Does there exist an atomic Archimedean lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question is given.
The Anh Bui, Jun Cao, Luong Dang Ky, Dachun Yang, Sibei Yang (2013)
Analysis and Geometry in Metric Spaces
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Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded H∞ -functional calculus in L2(X) satisfying the reinforced (pL; qL) off-diagonal estimates on balls, where pL ∊ [1; 2) and qL ∊ (2;∞]. Let φ : X × [0;∞) → [0;∞) be a function such that φ (x;·) is an Orlicz function, φ(·;t) ∊ A∞(X) (the class of uniformly Muckenhoupt weights), its uniformly critical upper type index l(φ) ∊ (0;1] and φ(·; t) satisfies the uniformly reverse Hölder inequality...
C. Rodriguez-Leon, L. Garcia-Forte (2011)
Computer Science and Information Systems
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(1996)
Fundamenta Mathematicae
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S. Iliadis (1998)
Fundamenta Mathematicae
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Riečanová, Zdenka (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Fausto Ferrari, Andrea Pinamonti (2013)
Analysis and Geometry in Metric Spaces
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In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot groups of arbitrarly large step. Moreover, we prove some nonexistence results for semilinear equations in the Engel group, which is the simplest Carnot group that is not of type ★.