Cohomological dimension and arithmetical rank of some determinantal ideals
Le Matematiche, 2015 Let M be a (2 × n) non-generic matrix of linear forms in a polynomial ring. For large classes of such matrices, we compute the cohomological dimension (cd) and the arithmetical rank (ara) of the ideal I_2(M) generated by the 2-minors of M.
Davide Bolognini +3 more
doaj
Commentary: Multidimensional discrete chaotic maps
Frontiers in Physics, 2022 Rasa Smidtaite, Minvydas Ragulskis
doaj +1 more source
Discrete–Time Linear Systems with Desired Poles and Zeros of the Transfer Matrices
International Journal of Applied Mathematics and Computer ScienceMethods for the design of discrete-time linear systems with desired poles and zeros of their transfer matrices are proposed. Conditions for the existence of the solution to the problem and the procedures for computation of the desired matrices are given.
Kaczorek Tadeusz, Sajewski Łukasz
doaj +1 more source
Symplectic Foliation Structures of Non-Equilibrium Thermodynamics as Dissipation Model: Application to Metriplectic Nonlinear Lindblad Quantum Master Equation. [PDF]
Entropy (Basel), 2022 Barbaresco F.
europepmc +1 more source
Matrix rings of finite degree of nilpotency [PDF]
Pacific Journal of Mathematics, 1971 openaire +2 more sources
Graded hypoellipticity of BGG sequences. [PDF]
Ann Glob Anal Geom (Dordr), 2022 Dave S, Haller S.
europepmc +1 more source
First order linear ordinary differential equations in associative algebras
Electronic Journal of Differential Equations, 2004 In this paper, we study the linear differential equation $$ frac{dx}{dt}=sum_{i=1}^n a_i(t) x b_i(t) + f(t) $$ in an associative but non-commutative algebra $mathcal{A}$, where the $b_i(t)$ form a set of commuting $mathcal{A}$-valued functions expressed ...
Gordon Erlebacher, Garrret E. Sobczyk
doaj
Polynomial and horizontally polynomial functions on Lie groups. [PDF]
Ann Mat Pura Appl, 2022 Antonelli G, Le Donne E.
europepmc +1 more source
Calabi-Yau period geometry and restricted moduli in Type II compactifications
Journal of High Energy PhysicsThe period geometry of Calabi-Yau n-folds — characterised by their variations of Hodge structure governed by Griffiths transversality, a graded Frobenius algebra, an integral monodromy and an intriguing arithmetic structure — is analysed for applications
Janis Dücker +2 more
doaj +1 more source
A scale-free universal relational information matrix (N-space) reconciles the information problem: N-space as the fabric of reality. [PDF]
Commun Integr Biol, 2023 Miller WB.
europepmc +1 more source