On Global Dimensions of A_n-Type Finite Dimensional Algebras  

On Global Dimensions of A_n-Type Finite Dimensional Algebras

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作  者:Ruchen HOU 

机构地区:[1]School of Mathematics and Information Science,Yantai University

出  处:《Journal of Mathematical Research with Applications》2015年第4期381-386,共6页数学研究及应用(英文版)

基  金:Supported by the National Natural Science Foundation of China(Grant No.11371307)

摘  要:A technique is provided to explicitly describe global dimensions of all An-type finite dimensional k-algebras for k an algebraic closed field. All possible global dimensions of all AN-type finite dimensional algebras are explicitly presented. In particular, it is pointed out that the maximum is n - 1, and the minimum is 1 for n 〉 1.A technique is provided to explicitly describe global dimensions of all An-type finite dimensional k-algebras for k an algebraic closed field. All possible global dimensions of all AN-type finite dimensional algebras are explicitly presented. In particular, it is pointed out that the maximum is n - 1, and the minimum is 1 for n 〉 1.

关 键 词:global dimension finite dimensional/c-algebra QUIVER admissible ideal 

分 类 号:O153[理学—数学]

 

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