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金沙7727赌城网站学术报告预告
编辑:www.7727.com  发布时间: 2019-05-09 浏览次数: 13

报告题目:The Extension Dimensions of Abelian Categories

报告人:黄兆泳(南京大学教授,博导)

报告时间:2019512日(周日)上午8:00

报告地点:金沙7727B403

报告摘要:Let $\mathcal{A}$ be an abelian category having enough projective objects and enough injective objects. We prove that if $\mathcal{A}$ admits an additive generating object, then the extension dimension and the weak resolution dimension of $\mathcal{A}$ are identical, and they are at most the representation dimension of $\mathcal{A}$ minus two. By using it, for a right Morita ring $\Lambda$, we establish the relation between the extension dimension of the category mod-$\Lambda$ of finitely generated right $\Lambda$-modules and the representation dimension as well as the global dimension of $\Lambda$. In particular, we give an upper bound for the extension dimension of mod-$\Lambda$ in terms of the projective dimension of certain class of simple right $\Lambda$-modules and the radical layer length of $\Lambda$. In addition, we investigate the behavior of the extension dimension under some ring extensions.

报告人概况:黄兆泳,南京大学数学系教授,博士生导师,江苏省数学会杰出成就奖获得者, 在表示论和同调理论方面做出了杰出的贡献,在《J. Algebra》、《J. Pure Appl. Algebra》等代数学顶级期刊上发表论文90余篇。 2001年,获中国高会科学技术奖自然科学奖二等奖,2002年入选江苏省普通高会“青蓝工程”第二期首批优秀青年骨干教师培养人选。近年来,连续主持国家自然科学基金面上项目多项。

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