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狄振兴:Completeness of the induced cotorsion pairs in categories of representations of rooted quivers(时间12.18)
【 作者:  校对时间:2020年12月16日 16:38  访问次数: 】

报告人:狄振兴 西北师范大学副教授

报告时间:12月18日15:00

报告地点:腾讯ID:971 125 079 密码:123456

主办单位:数学与统计学院

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  报告摘要:Given a complete (not necessarily hereditary) cotorsion pair in an abelian category A satisfying certain conditions, we show that if the quiver Q is left (resp., right) rooted, then the induced cotorsion pairs in the category Rep(Q, A) of all A-valued representations are complete as well, which gives an affirmative answer on an open question of Holm and Jorgensen in this case. As applications, we show under certain mild conditions that a special precovering (resp., preenveloping) subcategory, which is not necessarily closed under direct summands, of A can induce a special precovering (resp., preenveloping) subcategory in Rep(Q, A). This is a joint work with Liping Li, Li Liang and Fei Xu.

  狄振兴,西北师范大学数学与统计学院副教授,博士生导师,2015年毕业于东南大学数学系。主要从事同调代数理论与代数表示理论等方面的研究工作,在Proceedings of the Royal Society of Edinburgh. Section A. Mathematics,Journal of Algebra等国际SCI期刊上发表学术论文20余篇。先后主持国家自然科学基金青年基金项目与国家自然科学基金面上项目。