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Noncommutative signal-flow graph

In automata theory and control theory, branches of mathematics, theoretical computer science and systems engineering, a noncommutative signal-flow… 
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Automata theoryAutomatonDirected graphFormal language

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Control theory

Papers overview

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2017
2017
The superspace representation of super Yang–Mills theory on noncommutative geometry
A few years ago, we found the supersymmetric(SUSY) counterpart of the spectral triple which specified noncommutative geometry(NCG… 
2015
2015
Morita equivalence and spectral triples on noncommutative orbifolds
2014
2014
Noncommutative quadric surfaces and noncommutative conifolds
We introduce a compact moduli of noncommutative quadrics, and show that it is the weighted projective space of weight (2,4,4,6… 
2013
2013
Universal κ-Poincaré covariant differential calculus over κ-Minkowski space
Unified graded differential algebra, generated by κ-Minkowski noncommutative (NC) coordinates, Lorentz generators and… 
2010
2010
NONCOMMUTATIVE HYPERGEOMETRIC AND BASIC HYPERGEOMETRIC EQUATIONS
Recently, J. A. Tirao [Proc. Nat. Acad. Sci. 100(14) (2003) 8138–8141] considered a matrix-valued analogue of the 2F1 Gau… 
2009
2009
Azumaya structure on D-branes and deformations and resolutions of a conifold revisited: Klebanov-Strassler-Witten vs. Polchinski-Grothendieck
In this sequel to [L-Y1], [L-L-S-Y], and [L-Y2] (respectively arXiv:0709.1515 [math.AG], arXiv:0809.2121 [math.AG], and arXiv… 
2009
2009
Nontrivial Azumaya noncommutative schemes, morphisms therefrom, and their extension by the sheaf of algebras of differential operators: D-branes in a $B$-field background à la Polchinski-Grothendieck…
In this continuation of [L-Y1], [L-L-S-Y], [L-Y2], and [L-Y3] (arXiv:0709.1515 [math.AG], arXiv:0809.2121 [math.AG], arXiv:0901… 
2006
2006
On the classification and properties of noncommutative duplicates
We give an explicit description of the set of all factorization structures, or twisting maps, existing between the algebras k^2… 
2005
2005
Non commutative finite dimensional manifolds II. Moduli space and structure of non commutative 3-spheres
This paper contains detailed proofs of our results on the moduli space and the structure of noncommutative 3-spheres. We develop… 
2000
2000
Instantons on the Quantum 4-spheres S
We introduce noncommutative algebras Aq of quantum 4-spheres S 4 q , with q ∈ R, defined via a suspension of the quantum group… 
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