Tortora, A., Tota, M. and Traustason, G., 2012. Symplectic alternating nil-algebras. Journal of Algebra, 357, pp. 183-202.
In this paper we continue developing the theory of symplectic alternating algebras that was started in Traustason (2008) . We focus on nilpotency, solubility and nil-algebras. We show in particular that symplectic alternating nil-2 algebras are always nilpotent and classify all nil-algebras of dimension up to 8.
|Item Type ||Articles|
|Creators||Tortora, A., Tota, M. and Traustason, G.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||Traustason_Journal-Alegbra_2012_357_183.pdf: NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, vol 35, 2012, DOI 10.1016/j.jalgebra.2012.02.012|
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