Recollements of abelian categories and ideals in heredity chains–a recursive approach to quasi-hereditary algebras
Recollements of abelian categories and ideals in heredity chains–a recursive approach to quasi-hereditary algebras
复制标题
遗传链中阿贝尔范畴和理想的重新整理——准遗传代数的递归方法
DOI：
10.1090/proc/14620
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Psaroudakis Chrysostomos
中科院分区：
文献类型：
--
作者：
Gao Nan;Koenig Steffen;Psaroudakis Chrysostomos
阿贝尔范畴的重补被用作拟遗传代数的同调和递归方法的基础。这产生了一个同调证明Dlab和林格尔的特点幂等理想发生在遗传链，这反过来又特点拟遗传代数递归。进一步的应用遗传代数和森田上下文环。引用
Recollements of abelian categories are used as a basis of a homological and recursive approach to quasi-hereditary algebras. This yields a homological proof of Dlab and Ringel’s characterisation of idempotent ideals occurring in heredity chains, which in turn characterises quasi-hereditary algebras recursively. Further applications are given to hereditary algebras and to Morita context rings. References