A Normal form for HNN-extension of Dialgebras

2019/08/19 by Zargeh, Chia · 1 citation
#16S15 #17A36 #17A61 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1908.08397

Abstract

We consider a new version of Composition-Diamond Lemma for dialgebras in order to obtain an explicit Groebner-Shirshov basis for HNN-extension of dialgebras and determine a normal form for that.

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• An embedding theorem for Nijenhuis Lie algebras

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• HNN extensions of Lie superalgebras
• Lattices in \mathbb F_q[[T]]^d and spiral shifting operators
• Garside Theory: a Composition--Diamond Lemma Point of View
• The Cayley-Dickson process for dialgebras
• Operadic approach to HNN-extensions of Leibniz algebras