Results 171 to 180 of about 7,751,448 (200)

A condition for an area-preserving mapping to be in the Engel’s form

Journal of Mathematical Physics, 2000
We establish explicit expressions of restrictions on the coefficients of nonlinear terms in a two-dimensional area-preserving polynomial map imposed by the property of area preserving. We also establish a necessary and sufficient condition for a two-dimensional area-preserving generic polynomial map to be in the Engel’s form.
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Engel donditions on groups

1964
Let g,c denote positive integers. A group is said to have type (g→c) if every subgroup which can be generated by g elements is nilpotent of class at most c. A result of R. H. Bruck shows that groups of type (4→5) without elements of order 2 are nilpotent of class at most 7.
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On associative algebras satisfying the Engel condition

Israel Journal of Mathematics, 1989
It is shown that every finitely generated associative algebra over a field of characteristicp>0 satisfying the Engel condition is Lie-nilpotent. It follows that the Engel condition is inherited from an algebraA to its group of units,U(A).
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Lie rings satisfying the Engel condition

Mathematical Proceedings of the Cambridge Philosophical Society, 1954
1. Let be a Lie ring in which the product of elements x and y is denoted by xy. The inner derivations of , i.e. the mappings X:a→ax for fixed elements x of , form a Lie ring under the product [X, Y] = XY – YX, and the mapping x→ X is a homo-morphism of onto . We shall say that satisfies the nth Engel condition if Xn = 0 for all X in , i.e. iffor all
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Antiautomorphisms with quasi-generalized Engel condition

Journal of Algebra and Its Applications, 2018
Let [Formula: see text] be a ring with 1. Given elements [Formula: see text], [Formula: see text] of [Formula: see text] and the integer [Formula: see text] define [Formula: see text] and [Formula: see text]. We say that a given antiautomorphism [Formula: see text] of [Formula: see text] is commuting if [Formula: see text], all [Formula: see text ...
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Engel Elements in Groups with the Minimal Condition

Journal of the London Mathematical Society, 1973
Martin, J. E., Pamphilon, J. A.
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Engel’s law in China: Some new evidence

Review of Development Economics, 2022
Menggen Chen
exaly  

Disparate changes of living standard in China: perspective from Engel's coefficient

China Agricultural Economic Review, 2023
Xu Tian
exaly  

Engel conditions

1974
Ralph K. Amayo, Ian Stewart
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Groups with engel-like conditions

Archiv der Mathematik, 1966
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