A lifting problem for DG modules

被引：4
|
作者：
Ono, Maiko [1 ]
Yoshino, Yuji [2 ]
机构：
[1] Okayama Univ Sci, Inst Adv Higher Educ, Okayama 7000005, Japan
[2] Okayama Univ, Grad Sch Nat Sci & Technol, Okayama 7008530, Japan
来源：
JOURNAL OF ALGEBRA | 2021年 / 566卷
关键词：
DG algebra; DG module; Liftings; WEAK LIFTINGS;
D O I：
10.1016/j.jalgebra.2020.09.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let B = A < X vertical bar dX = t > be an extended DG algebra by the adjunction of a variable of positive even degree n, and let N be a semi-free DG B-module that is assumed to be bounded below as a graded module. We prove in this paper that N is liftable to A if Ext(B)(n+)(1) (N, N) = 0. Furthermore such a lifting is unique up to DG isomorphisms if Ext(B)(n) (N, N) = 0. (C) 2020 Published by Elsevier Inc.
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页码：342 / 360
页数：19
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