Results 261 to 270 of about 21,427 (301)

Commutators and the Commutator Subgroup

The American Mathematical Monthly, 1977
(1977). Commutators and the Commutator Subgroup. The American Mathematical Monthly: Vol. 84, No. 9, pp. 720-722.
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On Abelian Groups with Commutative Commutators of Endomorphisms

Journal of Mathematical Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Commutator equations

International Journal of Algebra and Computation
In this paper, we investigate properties of varieties of algebras described by a novel concept of equation that we call commutator equation. A commutator equation is a relaxation of the standard term equality obtained substituting the equality relation with the commutator relation.
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Commutativity of Rings with Constraints on Commutators, II

Results in Mathematics, 2000
[For part I see ibid. 5, 123-131 (1985; Zbl 0606.16023).] The author proves commutativity of an associative ring \(R\) satisfying one of the following conditions: (1) for each \(x,y\in R\) there exists a co-monic polynomial \(p(t)\in tZ[t]\), such that \([x,y]=[x,y](p(xy)-p(yx))\); (2) for each \(x,y\in R\) there exist \(p(t),q(t)\in tZ[t]\) with \(q(t)
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Commuting Hyperoperations

36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006
Centralizer of a set of hyperoperations F is a clone of hyperoperations that commute with all hyperoperations from F. There are several ways to define this commuting operator which imply several definitions of centralizers of sets of hyperoperations and they are considered in this paper. In order to obtain their properties, we discuss the definition of
Jovanka Pantovic, Gradimir Vojvodic
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Commutativity of rings with powers commuting on subsets

Mathematical Journal of Okayama University, 1997
Let \(R\) denote a ring with 1; let \(w=w(X,Y)\) denote a word, possibly 1, in two noncommuting indeterminates; and let \(n\) be a positive integer. The elements \(x,y\in R\) are said to satisfy condition \(a(w,n)\) (resp. \(b(w,n)\)) if \(w(x,y)[x^n,y^n]=0\) (resp. \(w(x,y)((xy)^n-(yx)^n)=0\)). Define \(A\subseteq R\) to be a \(P\)-subset if for each \
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Commute Replacement and Commute Displacement

Transportation Research Record: Journal of the Transportation Research Board, 2008
Working by telecommunication has been the subject of research attention in transportation studies for many years. Particular consideration has been given to occasional working from home (home working) by (full-time, paid) employees who represent a tangible removal of commute trips on days that people work from home.
Glenn Lyons, Hebba Haddad
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Commutator design for commutator fusing

1973 EIC 11th Electrical Insulation Conference, 1973
One of the biggest problems encountered in the production of universal or D.C. electric motors has been the method and practice of joining the armature's coil wires to the commutator. For years most manufactuers either soft soldered or brazed the coil wires to the commutator.
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Commutativity of rings with constraints on commutators

2000
This paper studies commutativity of rings \(R\) satisfying polynomial identities of the form\break \(x^t[x^n,y]y^r=[x,y^m]y^s\) and three similar forms, where \(n,m,r,s,t\) are suitably-chosen nonnegative integers. Whether the theorems are correct as stated is not clear, but for some \((n,m,r,s,t)\) the proofs given do not work.
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Commutativity of rings with constraints on commutators

Results in Mathematics, 1985
Let F denote a commutative ring, \(F\) the corresponding ring of polynomials in two non-commuting indeterminates, and F[X,Y] the ring of polynomials in two commuting indeterminates. A polynomial \(f(X,Y)\in F\) is called admissible if each of its monomials has length at least 3 and f(X,Y) has trivial image under the natural F-algebra map from \(F\) to ...
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