Smooth DG algebras and twisted tensor product

被引：0

作者：

Orlov, D. O. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2023年 / 78卷 / 05期

基金：

俄罗斯科学基金会;

关键词：

noncommutative algebraic geometry; differential graded algebras; perfect modules; 2 SIMPLE MODULES; NONCOMMUTATIVE SCHEMES; GENERATORS; DIMENSIONS;

D O I：

10.4213/rm10139e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The twisted tensor product of DG algebras is studied and sufficient conditions for smoothness of such a product are presented. It is shown that in the case of finite-dimensional DG algebras, applying this operation offers great possibilities for constructing new examples of smooth DG algebras and algebras. In particular, examples are given of families of algebras of finite global dimension with two simple modules that have non-trivial moduli spaces.

引用

页码：853 / 880

页数：28

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