| 相对AR-对应, 余$t$-结构和半倾斜对 |
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| 引用本文： | 张培雨,陈铭.相对AR-对应, 余$t$-结构和半倾斜对[J].数学研究及应用,2023,43(5):557-572. |
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| 作者姓名： | 张培雨 陈铭 |
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| 作者单位： | 安徽工程大学数理与金融学院, 安徽 芜湖 241000 |
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| 基金项目： | 国家自然科学基金(Grtant No.11801004),2020年安徽工程大学拔尖人才项目(Grant No.S022021055). |
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| 摘 要： | 作为倾斜对的推广,本文提出了半倾斜对的概念.作者们将Bazzoni关于倾斜模的刻画推广至半倾斜对,证明了半倾斜对的等价类和满足一定条件的某个子范畴之间存在一个1-1对应.进一步给出了半倾斜对的等价类和上有界的余$t$-结构两者之间存在一个双射.
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| 关 键 词： | 半自正交 半倾斜对 共变有限子范畴 相对AR-对应 余$t$-结构 |
| 收稿时间： | 2022/6/20 0:00:00 |
| 修稿时间： | 2023/6/1 0:00:00 |
Relative AR-Correspondence, Co-$t$-Structure and\\ Silting Pair |
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| Peiyu ZHANG,Ming CHEN.Relative AR-Correspondence, Co-$t$-Structure and\\ Silting Pair[J].Journal of Mathematical Research with Applications,2023,43(5):557-572. |
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| Authors: | Peiyu ZHANG Ming CHEN |
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| Affiliation: | School of Mathematics-Physics and Finance, Anhui Polytechnic University, Anhui 241000, P. R. China |
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| Abstract: | As a generalization of tilting pair, which was introduced by Miyashita, the notion of silting pair is introduced in this paper. The authors extend a characterization of tilting modules given by Bazzoni to silting pairs, and prove that there is a one-to-one correspondence between equivalent classes of silting pairs and certain subcategories which satisfy some conditions. Furthermore, the authors also give a bijection between equivalent class of silting pairs and bounded above co-$t$-structure. |
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| Keywords: | semi-selforthogonal silting pair covariantly finite subcategory AR-correspondence co-$t$-structure |
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