Results 21 to 30 of about 16,276 (205)
On Nilpotency and Asymptotic Nilpotency of Cellular Automata [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 We prove a conjecture of P. Guillon and G. Richard by showing that cellular automata that eventually fix all cells to a fixed symbol 0 are nilpotent on S^Z^d for all d. We also briefly discuss nilpotency on other subshifts, and show that weak nilpotency implies nilpotency in all subshifts and all dimensions, since we do not know a published reference ...
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On The Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2≤n≤3 [PDF]
Neutrosophic Sets and SystemsThe objective of this paper is to study the two-fold fuzzy algebra based on n-refined neutrosophic rings for some different special values of n, where we study some of the special elements in the case of two-fold 2-refined neutrosophic ring and 3-refined
Abdallah Shihadeh +4 more
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Potentially nilpotent patterns and the Nilpotent-Jacobian method
Linear Algebra and its Applications, 2012 12 ...
Bergsma, Hannah +2 more
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The Enumeration of Jordan′s Normal Form of k-nilpotent Matrices
Journal of Harbin University of Science and Technology, 2019 As a kind of special matrices, the nilpotent matrices has good properties. In this paper, we mainly discuss the enumeration problem of the Jordan′s normal form of 4-nilpotent matrix.
CHEN Jian-da, WANG Ping, ZHANG Lu
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On Nilpotent Orientably-Regular Maps of Nilpotency Class $4$
The Electronic Journal of Combinatorics, 2022 By a nilpotent map we mean an orientably regular map whose orientation preserving automorphism group is nilpotent. The nilpotent maps are concluded to the maps whose automorphism group is a $2$-group and a complete classification of nilpotent maps of (nilpotency) class $2$ is given by Malnič et al. in [European J. Combin. 33 (2012), 1974-1986].
Wenqin Xu +4 more
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Towards semi-classical analysis for sub-elliptic operators
Bruno Pini Mathematical Analysis Seminar, 2022 We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators.
Véronique Fischer
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Journal of Algebra, 2005 In this technical paper, the authors develop precise results on the index of nilpotence of a derivation \(D\) of a semiprime ring \(R\) with characteristic, and also on a related index defined by the ideals of \(R\). Let \(R\) be a semiprime ring with characteristic zero or a prime, \(Q\) the symmetric Martindale quotient ring of \(R\), \(C\) the ...
Chuang, Chen-Lian, Lee, Tsiu-Kwen
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Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
Journal of Mathematics, 2022 In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
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Ratio Mathematica, 2023 We deliberate a substructure of a near ring called mediality so as to create a new platform, on which many of the properties like commutativity, regular, idempotent and zero symmetric are applied with.
Dhivya C, Radha D
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Pacific Journal of Mathematics, 1995 Let \(\pi\) be a set of primes, and let \(G\) be a finite \(\pi\)-separable group. Isaacs has defined a canonical basis \(I_\pi(G)\) for the vector space of class functions on the set of \(\pi\)-elements in \(G\). The author calls an element \(\varphi\in I_\pi(G)\) nilpotent if \(\varphi\) is induced from an element \(\delta\in I_\pi(K)\) where \(K ...
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