A Normal form for HNN-extension of Dialgebras
Chia Zargeh
TL;DR
This paper develops a new Composition-Diamond Lemma for dialgebras to explicitly construct a Groebner-Shirshov basis for HNN-extensions and to determine their normal forms.
Contribution
It introduces a novel version of the Composition-Diamond Lemma tailored for dialgebras, enabling explicit basis construction for HNN-extensions.
Findings
Established a new Composition-Diamond Lemma for dialgebras
Derived an explicit Groebner-Shirshov basis for HNN-extensions
Determined a normal form for HNN-extensions of dialgebras
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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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Polynomial and algebraic computation