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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2017; 54(2): 647-662

Online first article December 27, 2016      Printed March 1, 2017

https://doi.org/10.4134/JKMS.j160213

Copyright © The Korean Mathematical Society.

On solvability and nilpotency of algebras with bracket

Jose Manuel Casas

Universidade de Vigo

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We analyze properties of solvable and nilpotent algebras with bracket. The class of solvability and nilpotency of the tensor square of an algebra with bracket is obtained. Homological characterizations of nilpotent algebras with bracket are presented.

Keywords: algebra with bracket, solvable algebra with bracket, nilpotent algebra with bracket

MSC numbers: Primary 17B30, 17B55, 17B63, 18D50

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