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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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2015
2015
Witt's theorem for noncommutative conics
Let k be a field. We show that all homogeneous noncommutative curves of genus zero over k are noncommutative P^1-bundles over a… 
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
Quantum entanglement, emergence, and noncommutative blowups
We introduce new mathematical aspects of the Bell states using matrix factorizations, nonnoetherian singularities, and… 
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… 
2006
2006
Certain non-renormalization property of SUSY field theories on noncommutative superspace
超弦理論から得られる有効理論としての場の理論には、超座標 θα同士が非反交換になる非可換 超空間の場の理論 [1]と呼ばれる新しいタイプの場の理論が含まれている。この理論は Euclidean… 
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… 
2003
2003
M ay 2 00 3 1 Supersymmetry and Gravity in Noncommutative Field Theories
Non commuting coordinates have been proposed long ago as a way to get rid of divergences in quantum field theory [1] and more… 
2000
2000
A pr 2 00 1 Noncommutative Geometry of Lattice and Staggered Fermions
Differential structure of a d-dimensional lattice, which is essentially a noncommutative exterior algebra, is defined using…