Finitely generated polynomial subalgebras without finite SAGBI bases

Thời gian: 14:00 đến 15:00 Ngày 30/12/2019

Địa điểm: C2-714, VIASM

Báo cáo viên: Shigeru Kuroda; Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Japan

Tóm tắt:

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.