Lemma 15.83.2 (0DHT)—The Stacks project

Processing math: 100%

Table of contents
Part 1: Preliminaries
Chapter 15: More on Algebra
Section 15.83: Relatively perfect modules
Lemma 15.83.2 (cite)

previous definition
next lemma

numberstags

history
statistics
1 tag refers to this tag

Lemma 15.83.2. Let $R \to A$ be a flat ring map of finite presentation. The $R$ -perfect objects of $D(A)$ form a saturated ¹ triangulated strictly full subcategory.

Proof. This follows from Lemmas 15.64.2, 15.64.8, 15.66.5, and 15.66.7. $\square$

[1] Derived Categories, Definition 13.6.1.

Comments (0)

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$ ). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).

Comments (0)

Post a comment