Results 31 to 40 of about 1,586,511 (197)
Nilpotent-independent sets and estimation in matrix algebras [PDF]
LMS Journal of Computation and Mathematics, 2015 Efficient methods for computing with matrices over finite fields often involverandomisedalgorithms, where matrices with a certain property are sought via repeated random selection. Complexity analyses for such algorithms require knowledge of the proportion of relevant matrices in the ambient group or algebra.
Brian P. Corr +2 more
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On Decompositions of Matrices over Distributive Lattices
Journal of Applied Mathematics, 2014 Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q (n × n, resp.) matrices over L. In this paper, we show that if there is a subdirect embedding from distributive lattice L to the direct product ∏i=1mLi ...
Yizhi Chen, Xianzhong Zhao
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On Consistent and Weak Transitive Intuitionistic Fuzzy Matrices
Fuzzy Information and Engineering, 2022 In this paper, we discuss in detail several properties of two kinds of intuitionistic fuzzy matrices which they are consistent and weak transitive. The nilpotent and transitive intuitionistic fuzzy matrices play an important role in this discussion.
E. G. Emam
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The poset of the nilpotent commutator of a nilpotent matrix
Linear Algebra and its Applications, 2013 This revised version includes the results in the first two sections of the version submitted earlier in February 2012; more results are added and some proofs are refined.
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The Scientific World Journal, 2013 Let be an arbitrary field and a square matrix over . Then is sum of two square nilpotent matrices over if and only if, for every algebraic extension of and arbitrary nonzero , there exist idempotent matrices and over such that .
Xiaofei Song +2 more
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On the distance from a matrix to nilpotents
Linear Algebra and its Applications, 2023 We prove that the distance from an $n\times n$ complex matrix $M$ to the set of nilpotents is at least $\frac{1}{2}\sec\fracπ{n+2}$ if there is a nonzero projection $P$ such that $PMP=M$ and $M^*M\geq P$. In the particular case where $M$ equals $P$, this verifies a conjecture by G.W. MacDonald in 1995.
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Subspaces fixed by a nilpotent matrix
Orbita MathematicaeThe linear spaces that are fixed by a given nilpotent $n \times n$ matrix form a subvariety of the Grassmannian. We classify these varieties for small $n$. Mutiah, Weekes and Yacobi conjectured that their radical ideals are generated by certain linear forms known as shuffle equations. We prove this conjecture for $n \leq 7$, and we disprove it for $n=8$
Hahn, Marvin Anas +3 more
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Drużkowski matrix search and D-nilpotent automorphisms
Indagationes Mathematicae, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GORNI, Gianluca +2 more
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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Arnold tongues of divergence in the Caputo fractional standard map of nilpotent matrices
Nonlinear AnalysisArnold tongues of divergence in the Caputo fractional standard map of nilpotent matrices are explored in this paper. The scalar iterative variables in the Caputo fractional standard map are replaced by iterative matrix variables.
Ugnė Orinaitė +2 more
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