Title: Gröbner-Shirshov basis for associative algebras
Speaker: Vsevolod Gubarev
Affiliation: Sobolev Institute of Mathematics
Time: July 23-26, 27-31, 2025, 10:30-12:00
Venue: Zoom ID: 814 1002 3263, Password: 2025
Meeting Link:
https://us06web.zoom.us/j/81410023263?pwd=0ysq272PCzQqZjuOoLJTvbwV99Xub2.1
Abstract:
We will study the Gröbner-Shirshov bases theory for associative algebras with complete proofs and wide applications in (semi)group theory and ring theory. We will also consider computations of Gröbner-Shirshov bases in different computer algebra systems. The minicourse is organized as follows:
Free semigroup
Defining relations in semigroups and algebras
Gröbner-Shirshov basis
Rewriting system
Composition Lemma
Applications in (semi)groups
Applications in algebras
Computation in computer algebra systems
Speaker's Biography:
Vsevolod Gubarev is a senior researcher at the Sobolev Institute of Mathematics and a senior teacher at Novosibirsk State University (both in Novosibirsk, Russia). His area of interest is ring theory.
