Fri, March 5, 2021
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5:00pm [5:30pm] Kazuho Ozeki, Yamaguchi University, Japan
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Speaker:* Kazuho Ozeki, Yamaguchi University, Japan* Date/Time: *5 March 2021, 5:30pm IST/ 12:00pm GMT/ 7:00am EST* (joining time: 5:15 pm IST - 5:30 pm IST) Google meet link: https://meet.google.com/mjh-prqn-rio Title:* The reduction number of stretched ideals* Abstract: The homological property of the associated graded ring of an ideal is an important problem in commutative algebra and algebraic geometry. In this paper we explore the structure of the associated graded ring of stretched $\m$-primary ideals in the case where the reduction number attains almost minimal value in a Cohen-Macaulay local ring $(A,\m)$. As an application, we present complete descriptions of the associated graded ring of stretched $\m$-primary ideals with small reduction number. For more information and links to previous seminars, visit the website of VCAS: https://sites.google.com/view/virtual-comm-algebra-seminar
6:00pm