Details:
Title  On Lefschetz series.  Author(s)  Hongzhu Gao, Xiangui Zhao  Type  Article in Journal  Abstract  Let R = ⊕ i=0 ∞ R i be a connected graded commutative algebra over the field ℚ of rational numbers, and let f be a graded endomorphism of R. In this paper, we show that the Lefschetz series of f can be computed directly from the induced linear map Q(f) on the ℚ vector space of indecomposables of R. We give an explicit algorithm to compute the Lefschetz series of f from Q(f). The main tool we used is the graded algebra version of Gröbner basis theory. At the end of this paper, some examples and applications are given.  Keywords  Lefschetz series, Gröbner basis, endomorphism of graded algebra  ISSN  16733452; 16733576/e 
URL 
http://link.springer.com/article/10.1007%2Fs1146401101429 
Language  English  Journal  Front. Math. China  Volume  6  Number  5  Pages  10031008  Publisher  Springer, Berlin/Heidelberg; Higher Education Press, Beijing  Year  2011  Edition  0  Translation 
No  Refereed 
No 
