Southwest Jiaotong University School of Mathematics


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来源:数学系   作者:数学系     日期:2021-06-15 13:41:17   点击数:  

    题目:Completeness of the Induced Cotorsion Pairs in Categories of Representations of Rooted Quivers


    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.



    报告人简介: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. MathematicsJournal 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。