第2回

日時

2023年5月9日(火) 15:00~16:30

場所

Zoom

講演者

木村 雄太氏(大阪公立大学 理学研究科)

タイトル

Classifying subcategories for Noetherian algebras

アブストラクト

Let R be a commutative Noetherian ring and A a Noetherian R-algebra. In this talk, we study classification problem of subcategories of modA. In the case where R is a field, there are many studies of subcategories of modA. For a Noetherian algebra case, taking a tensor product of A and the residue field of a prime ideal of R play an important role. Such operation enables us to study subcategories of modA by using results of finite dimensional algebras. As results, we classify torsionfree classes and Serre subcategories of modA, and classify torsion classes for some cases. If A is commutative, our results cover well-known results of commutative rings. This is joint work with Osamu Iyama.

スライド