Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4143
Title: | Computation of Poincaré-Betti Series for Monomial Rings | Authors: | Johansson, Mikael | Keywords: | Poincaré-Betti series; Monomial rings; Simplicial homology; Computation | Issue Date: | 2005 | Publisher: | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica | Source: | Mikael Johansson, "Computation of Poincaré-Betti Series for Monomial Rings", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 37 (2005), pp. 85-94. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 37 (2005) |
Abstract: | The multigraded Poincaré-Betti series $P^kR(\bar{x}; t) of a monomial ring $k[\bar{x}]/\langle M\rangle$ on a finite number of monomial generators has the form $\prod_{x_i\in\bar{x}}(1+x_i t)/b_{R,k}(\bar{x};t)$, where $b_{R,k}(\bar{x};t)$ is a polynomial depending only on the monomial set M and the characteristic of the field k. I present a computer program designed to calculate the polynomial $b_{R,k} for a given field characteristic and a given set of monomial generators. |
Type: | Article | URI: | http://hdl.handle.net/10077/4143 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.37 (2005) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
JohanssonRendMat37.pdf | 125.16 kB | Adobe PDF | ![]() View/Open |
CORE Recommender
Page view(s) 20
1,016
checked on Jun 29, 2022
Download(s) 50
347
checked on Jun 29, 2022
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.