報告題目：Completeness of the Induced Cotorsion Pairs in Categories of Representations of Rooted Quivers

主 講 人：狄 振 興

單 位：西北師范大學

時 間：12月18日15:00

騰 訊 ID：971 125 079

密 碼：123456

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.

簡 介：

狄振興，西北師范大學數學與統計學院副教授，博士生導師。2015年畢業于東南大學數學系。主要從事同調代數理論與代數表示理論等方面的研究工作，在Proceedings of the Royal Society of Edinburgh. Section A. Mathematics，Journal of Algebra等國際SCI期刊上發表學術論文20余篇。先后主持國家自然科學基金青年基金項目與國家自然科學基金面上項目。