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Quasi-binomial coefficients stemming from Nakayama algebras
Authors:RuChen Hou  GuangLian Zhang
Institution:1. Department of Mathematics and Information Science, Yantai University, Yantai, 264005, China
2. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China
Abstract: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.
Keywords:Nakayama algebra  Kupisch series  admissible sequence  binomial coefficient  quasi-binomial coefficient
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