Results 131 to 140 of about 174,282 (159)
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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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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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AN ENGEL CONDITION WITH AUTOMORPHISMS FOR LEFT IDEALS
Journal of Algebra and Its Applications, 2013Let R be a prime ring and L a nonzero left ideal of R. For x, y ∈ R, we denote [x, y] = xy-yx the commutator of x and y. In this paper, we prove that if R admits a non-identity automorphism σ such that [[…[[σ(xn0), xn1], xn2], …], xnk] = 0 for all x ∈ L, where n0, n1, n2, …, nk are fixed positive integers, then R is commutative.
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Disparate changes of living standard in China: perspective from Engel's coefficient
China Agricultural Economic Review, 2023Qingxin Xie, Fujin Yi, Xu Tian
exaly
Engel curve, farmer welfare and food consumption in 40 years of rural China
China Agricultural Economic Review, 2018Xiaohua Yu
exaly
Environmental Engel curves in Italy: A spatial econometric investigation
Papers in Regional Science, 2020Marco Baudino
exaly
Redistribution and pollution taxes with non-linear Engel curves
Journal of Environmental Economics and Management, 2019Bas Jacobs, Frederick van der Ploeg
exaly