Quasi-binomial coefficients stemming from Nakayama algebras  

作　　者：HOU RuChen ZHANG GuangLian 

机构地区：[1]Department of Mathematics and Information Science,Yantai University [2]Department of Mathematics,Shanghai Jiao Tong University

出　　处：《Science China Mathematics》2014年第7期1545-1552,共8页中国科学：数学（英文版）

基　　金：supported by Shandong Provincial Natural Science Foundation of China (Grant No.ZR2011AM005);National Natural Science Foundation of China (Grant No.10931006);Shanghai Municipal Natural Science Foundation (Grant No.12ZR1413200)

摘　　要：It is known that there is a very closed connection between the set of non-isomorphic indecomposable basic Nakayama algebras and the set of admissible sequences.To determine the cardinal number of all nonisomorphic indecomposable basic Nakayama algebras,we describe the cardinal number of the set of all t-length admissible sequences using a new type of integers called quasi-binomial coefficients.Furthermore,we find some intrinsic relations among binomial coefficients and quasi-binomial coefficients.It is known that there is a very closed connection between the set of non-isomorphic indecomposable basic Nakayama algebras and the set of admissible sequences.To determine the cardinal number of all nonisomorphic indecomposable basic Nakayama algebras,we describe the cardinal number of the set of all t-length admissible sequences using a new type of integers called quasi-binomial coefficients.Furthermore,we find some intrinsic relations among binomial coefficients and quasi-binomial coefficients.

关 键 词：Nakayama algebra Kupisch series admissible sequence binomial coefficient quasi-binomial coefficient 

分 类 号：O174[理学—数学]