摘要
在遗传代数的背景下,结合平凡扩张代数的结构,给出遗传代数上的例外对(正交例外对和强例外对)经过张量函子作用后仍为对应的平凡扩张代数上的例外对(正交例外对和强例外对)的充分必要条件,并举例加以说明。
Based on the hereditary algebra and the structure of trivial extension algebra, the sufficient and necessary conditions were provided, under which the exceptional pairs (orthogonal exceptional pairs and strong exceptional pairs) of the hereditary algebra by the action of tensor functors were still to be the corresponding exceptional pairs of trivial extension algebra.The conclusions were illustrated with examples.
作者
郑敏
陈清华
ZHENG Min;CHEN Qinghua(Department of Mathematics and Physics,Fujian Jiangxia University,Fuzhou Fujian 350108,China;College of Mathematics and Computer Science,Fujian Normal University,Fuzhou Fujian 350117,China)
出处
《莆田学院学报》
2019年第2期4-7,共4页
Journal of putian University
基金
国家自然科学基金资助项目(11601084)
福建省自然科学基金资助项目(2016J01002
2015J05002)
福建省教育厅A类科技项目(JZ160485)
福建江夏学院校青年科研人才培育基金项目(JXZ2017008)
关键词
平凡扩张代数
例外模
正交例外对
强例外对
trivial extension algebra
exceptional module
orthogonal exception pair
strong exception pair
