Results 151 to 160 of about 96,933 (288)
arXiv, 2018 In this article, we introduce the concept of nilpotent graph of a finite commutative ring. The set of all non nilpotent elements of a ring is taken as the vertex set and two vertices are adjacent if and only if their sum is nilpotent. We discuss some graph theoretic properties of nilpotent graph.
arxiv
NILPOTENT CLASSICAL MECHANICS [PDF]
International Journal of Modern Physics A, 2007 The formalism of nilpotent mechanics is introduced in the Lagrangian and Hamiltonian form. Systems are described using nilpotent, commuting coordinates η. Necessary geometrical notions and elements of generalized differential η-calculus are introduced. The so-called s-geometry, in a special case when it is orthogonally related to a traceless symmetric
openaire +2 more sources
The Group Ring Of a Class Of Infinite Nilpotent Groups [PDF]
, 1955 S. A. Jennings
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The number of nilpotent semigroups of degree 3
, 2012 A semigroup is \emph{nilpotent} of degree 3 if it has a zero, every product of 3 elements equals the zero, and some product of 2 elements is non-zero.
Distler, Andreas, Mitchell, James D.
core
Some Residual Properties of Finite Rank Groups
Моделирование и анализ информационных систем, 2014 The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev proved that if G is a polycyclic group which is residually finite p-group for infinitely many primes p, it is nilpotent. Recall that a group G is said to
D. N. Azarov
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The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix [PDF]
arXiv, 2007 We study the set $\partition{\nb}$ of all possible Jordan canonical forms of nilpotent matrices commuting with a given nilpotent matrix $B$. We describe $\partition{\nb}$ in the special case when $B$ has only one Jordan block. In the general case, we find the maximal possible index of nilpotency in the set of all nilpotent matrices commuting with a ...
arxiv
On rings whose associated Lie rings are nilpotent [PDF]
, 1947 S. A. Jennings
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Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Calc Var Partial Differ Equ, 2023 Don S, Magnani V.
europepmc +1 more source