Connectedness of the Balmer spectrum of the right bounded derived category
Connectedness of the Balmer spectrum of the right bounded derived category
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右有界派生范畴的巴尔默谱的连通性
DOI：
10.1016/j.jpaa.2018.02.003
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发表时间：
2018
影响因子：
0.8
通讯作者：
Matsui Hiroki
中科院分区：
文献类型：
--
作者：
Madoka Kudo;Satoshi Kidokoro;Takuya Yoshida;Junya Mizoi;Daisuke Todaka;Alisdair R. Fernie;Kazuo Shinozaki;and Kazuko Yamaguchi-Shinozaki;Matsui Hiroki;Matsui Hiroki;Matsui Hiroki
利用著名的Balmer定理，张量三角化范畴T的厚张量理想的分类等价于它的Balmer谱Spc T的拓扑结构。受这个定理的启发，我们讨论了交换环上的右有界导范畴的生成模的Balmer谱的连通性、不可约性和Noether性。
By virtue of Balmer's celebrated theorem, the classification of thick tensor ideals of a tensor triangulated category T is equivalent to the topological structure of its Balmer spectrum Spc T. Motivated by this theorem, we discuss connectedness, irreducibility, and Noetherianity of the Balmer spectrum of a right bounded derived category of finitely generated modules over a commutative ring.