报告名称:N-fold module factorizations: Triangle equivalences and recollements
报告专家:孙永亮
专家所在单位:盐城工学院
报告时间:2026.03.17, 14:30-15:30
报告地点: 腾讯会议:954-904-077
专家简介:孙永亮,博士毕业于首都师范大学,盐城工学院讲师,研究方向为代数表示论与同调代数,论文发表在Journal of Algebra等期刊上,现主持国家自然科学基金青年项目一项。
报告摘要:In this paper, we introduce n-fold module factorizations, which generalize both the commutative n-fold matrix factorizations and the non-commutative module factorizations. To adapt triangle equivalences in module factorizations to n-fold module factorizations, we identify suitable subcategories of module factorizations and rings for the n-analogue. We further provide the n-analogue of Chen's theorem on triangle equivalences. Additionally, we study recollements involving the stable categories of higher-fold module factorizations, revealing intriguing recollements within the stable categories of Gorenstein modules of specific matrix subrings. This is a joint work with Zhang Yaohua.