Results 251 to 260 of about 24,858 (293)

On Commutativity and Strong Commutativity-Preserving Maps

Canadian Mathematical Bulletin, 1994
AbstractIf R is a ring and S ⊆ R, a mapping f:R —> R is called strong commutativity- preserving (scp) on S if [x, y] = [f(x),f(y)] for all x,y € S. We investigate commutativity in prime and semiprime rings admitting a derivation or an endomorphism which is scp on a nonzero right ideal.
Bell, Howard E., Daif, Mohamad Nagy
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On Non-Commutative Algebras and Commutativity Conditions

Results in Mathematics, 1990
A theorem of T. Nakayama states that an algebra \(A\) over an \({\mathcal N}\)- ring \(R\) is commutative if \(A\) satisfies the following condition: (N) For each \(x\) in \(A\), there exists \(f(X)\) in \(X^ 2 R[X]\) such that \(x-f(x)\) is central. More generally, W. Streb studied \(R\)-algebras \(A\) satisfying the following condition: (S) For each \
Komatsu, Hiroaki, Tominaga, Hisao
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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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Endpoint estimates of linear commutators on Hardy spaces over spaces of homogeneous type

Mathematical methods in the applied sciences, 2018
Let (X,d,μ) be a metric measure space of homogeneous type in the sense of Coifman and Weiss. In this article, the authors prove that bilinear operators, which are finite combinations of compositions of commutators and Calderón‐Zygmund operators, are ...
Li-Guang Liu, D. Chang, Xing Fu, Dachun Yang   +3 more
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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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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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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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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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