Gröbner–Shirshov Bases Theory for Trialgebras

We establish a method of Gröbner–Shirshov bases for trialgebras and show that there is a unique reduced Gröbner–Shirshov basis for every ideal of a free trialgebra. As applications, we give a method for the construction of normal forms of elements of an arbitrary trisemigroup, in particular, A.V. Zh...

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Bibliographic Details
Main Authors: Juwei Huang, Yuqun Chen
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/11/1207