Results 61 to 70 of about 75,899 (224)
A typical graph structure of a ring [PDF]
Transactions on Combinatorics, 2015 The zero-divisor graph of a commutative ring R with respect to nilpotent elements is a simple undirected graph $Gamma_N^*(R)$ with vertex set Z_N(R)*, and two vertices x and y are adjacent if and only if xy is nilpotent and xy is nonzero, where Z_N(R)={x
R. Kala , S. Kavitha
doaj
Lifting of nilpotent contractions
, 2007 It is proved that that every nilpotent contraction in a quotient C*-algebra can be lifted to a nilpotent contraction. As a consequence we get that the universal C*-algebra generated by a nilpotent contraction is projective.
Shulman, Tatiana
core +1 more source
Coloured shuffle compatibility, Hadamard products, and ask zeta functions
Bulletin of the London Mathematical Society, EarlyView.Abstract We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so‐called ask zeta functions of direct sums of modules of matrices or class‐ and orbit‐counting zeta functions of direct products of nilpotent groups.
Angela Carnevale +2 more
wiley +1 more source
Journal of Symbolic Computation, 1987 This paper describes a new procedure, based on string rewriting rules, for verifying that a finitely presented group G is nilpotent. If G is not nilpotent, the procedure may not terminate. A preliminary computer implementation of the procedure has been used to prove a theorem about minimal presentations of free nilpotent groups of class 3.
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Refined solvable presentations for polycyclic groups [PDF]
International Journal of Group Theory, 2012 We describe a new type of presentation that, when consistent, describes a polycyclic group. This presentation is obtained by re ning a series of normal subgroups with abelian sections.
René Hartung, Gunnar Traustason
doaj
Conjugacy classes of parabolic subalgebras in complex semi-simple lie algebras [PDF]
, 1976 For a complex semi simple Lie algebra g, Richardson's dense orbit theorem gives a map between conjugacy classes of parabolic subalgebras in g and conjugacy classes of nilpotent elements.
Johnston, D.S.
core
Privileged Coordinates and Nilpotent Approximation of Carnot Manifolds, I. General Results
, 2018 In this paper we attempt to give a systematic account on privileged coordinates and the nilpotent approximation of Carnot manifolds. By a Carnot manifold it is meant a manifold with a distinguished filtration of subbundles of the tangent bundle which is ...
Choi, Woocheol, Ponge, Raphael
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On the universal pairing for 2‐complexes
Bulletin of the London Mathematical Society, EarlyView.Abstract The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 in [Freedman, Kitaev, Nayak, Slingerland, Walker, and Wang, J. Geom. Topol. 9 (2005), 2303–2317]. We prove an analogous result for 2‐complexes, and show that the universal pairing does not detect the difference between simple homotopy equivalence and 3 ...
Mikhail Khovanov +2 more
wiley +1 more source
Transactions of the American Mathematical Society, 1903 that is, (g'h' ) (g"h") is (g'h"') or 0 according as h' is or is not the same as g". Each class forms a sub-algebra of the algebra, the class (11) containing the idempotent basis. The class (22) may or may not contain an idempotent. If (11) contains two distinct idempotents, the process may be repeated, giving classes which we may represent by (11 ...
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Glasgow Mathematical Journal, 2019 AbstarctLetγn= [x1,…,xn] be thenth lower central word. Denote byXnthe set ofγn-values in a groupGand suppose that there is a numbermsuch that$|{g^{{X_n}}}| \le m$for eachg∈G. We prove thatγn+1(G)has finite (m, n) -bounded order. This generalizes the much-celebrated theorem of B. H. Neumann that says that the commutator subgroup of a BFC-group is finite.
ELOISA DETOMI +3 more
openaire +5 more sources