Finitely generated polynomial subalgebras without finite SAGBI bases

Time: 14:00 to  15:00 Ngày 30/12/2019

Venue/Location: C2-714, VIASM

Speaker: Shigeru Kuroda; Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Japan

Content:

SAGBI (Subalgebra Analogue to Groebner Bases for Ideals) bases are defined for subalgebras of a polynomial ring, similarly to the Groebner bases for ideals. Groebner bases are always finite sets due to Hilbert’s basis theorem, but finitely generated subalgebras of a polynomial ring do not always have finite SAGBI bases. In this talk, we give a new class of finitely generated subalgebras with this property.