Người báo cáo:
Phạm Hùng Quý
Time: 9:30 - 11:00, March 08, 2023.
Venue: Room 612, A6, Institute of Mathematics, VAST
Abstract: A Noetherian local ring is called Buchsbaum if the difference , where is an ideal generated by a system of parameters, is a constant independent of . In this article, we study the tight closure analog of this condition. We prove that in an unmixed excellent local ring of prime characteristic and dimension at least one, the difference is independent of if and only if the parameter test ideal contains . This is a joint work with Linquan Ma.