曲阜师范大学学报（自然科学版）2018，Vol.44Issue(1)：6-10,5.DOI:10.3969/j.issn.1001-5337.2018.1.006
由半对偶化双模诱导的范畴之间的等价
Equivalence Between Categories Induced by a Semidualizing Bimodule
摘要
Abstract
Let sCR be a semidualizing (S,R)-bimodule over a pair of associative rings (S,R).We show that the categories with respect to a semidualizing bimodule are equivalence.From this,we show the Auslander class induced by C coin-cides with the class of R-modules M satisfying Tor R≥ 1(C,M) =0 and the Bass class coincides with the class of S-modules N satisfying Ext≥1 (C,N) =0 when sCR is a faithfully semidualizing bimodule.Moreover,we compare the semidualizing module with the *∞-module in tilting theory and get some faithfully semidualizing modules are * ∞-modules.关键词
半对偶化双模/Auslander类/Bass类/proper预解式Key words
Semidualizing bimodule/Auslander class/Bass class/proper resolution分类
数理科学引用本文复制引用
张珍,陶琳琳,郭秀华..由半对偶化双模诱导的范畴之间的等价[J].曲阜师范大学学报（自然科学版）,2018,44(1):6-10,5.基金项目
Shandong Provincial Natural Science Foundation of China (ZR2015PA001). （ZR2015PA001）
