Rings over which every matrix is the sum of two idempotents and a nilpotent [PDF]
, 2016 H. Chen, Marjan Sheibani
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On matrix representations of oversemigroups of semigroups generated by mutually annihilating 2-potent and 2-nilpotent elements [PDF]
, 2020 В. М. Бондаренко +1 more
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On nilpotent subsemigroups of the matrix semigroup over an antiring
Linear Algebra and its Applications, 2011 A semiring is an algebraic system \((R,+,\cdot)\) such that \((R,+)\) is a commutative semigroup with identity \(0\), \((R,\cdot)\) is a semigroup with identity \(1\), and ring-like distributivity holds. It is also assumed that \(0r=r0=0\) for all \(r\in R\) and that \(0\neq 1\).
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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
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Commentary: Multidimensional discrete chaotic maps
Frontiers in Physics, 2022 Rasa Smidtaite, Minvydas Ragulskis
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On the dimension of matrix embeddings of torsion-free nilpotent groups [PDF]
, 2017 Funda Gul, A. Weiss
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Graded hypoellipticity of BGG sequences. [PDF]
Ann Glob Anal Geom (Dordr), 2022 Dave S, Haller S.
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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
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Symplectic Foliation Structures of Non-Equilibrium Thermodynamics as Dissipation Model: Application to Metriplectic Nonlinear Lindblad Quantum Master Equation. [PDF]
Entropy (Basel), 2022 Barbaresco F.
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Emergent Grand Unified Structure in a 4 x 4 Nilpotent Matrix Algebra [PDF]
M. Adeel Ajaib
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