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Commutativity of rings with constraints on commutators
2000This 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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Canadian Journal of Mathematics, 1963
The following elementary facts about certain commutative diagrams, called "squares," are stated and proved in terms of abelian groups and their homomorphisms. However, they are valid for arbitrary abelian categories and can be proved also for them. This does not need to be shown, since every abelian category can be embedded into the category of abelian
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The following elementary facts about certain commutative diagrams, called "squares," are stated and proved in terms of abelian groups and their homomorphisms. However, they are valid for arbitrary abelian categories and can be proved also for them. This does not need to be shown, since every abelian category can be embedded into the category of abelian
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American Journal of Mathematics, 1952
A mathematical formulation of the famous Heisenberg uncertainty principle is that a certain pair of linear transformations P and Q satisfies, after suitable normalizations, the equation PQ - QP = 1. It is easy enough to produce a concrete example of this behavior; consider L2(-∞, +∞) and let P and Q be the differentiation transformation and the ...
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A mathematical formulation of the famous Heisenberg uncertainty principle is that a certain pair of linear transformations P and Q satisfies, after suitable normalizations, the equation PQ - QP = 1. It is easy enough to produce a concrete example of this behavior; consider L2(-∞, +∞) and let P and Q be the differentiation transformation and the ...
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The mapping class group is generated by two commutators
Journal of Algebra, 2021R Inanç Baykur
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Writing commutators of commutators as products of cubes
Communications in Algebra, 2022Colin Ramsay
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Commutativity, non-commutativity, and bilinearity
Information Processing Letters, 1976openaire +2 more sources
Commutators and generalized local Morrey spaces
Journal of Mathematical Analysis and Applications, 2018Maria Alessandra Ragusa +1 more
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Some new estimates for the commutators of n-dimensional Hausdorff operator
Applied Mathematics, 2014Amjad Hussain, Hussain Amjad
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On groups in which commutators are covered by finitely many cyclic subgroups
Journal of Algebra, 2008Pavel Shumyatsky +1 more
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