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Computation of Poincaré-Betti Series for Monomial Rings
Johansson, Mikael
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
37 (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.
Languages
en
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