MMN-1323
Computing Gröbner bases and invariants of the symmetric algebra
M. La Barbiera;Abstract
We study algebraic invariants of the symmetric algebra
SymR(L) of the square-free monomial ideal L = In−1 + Jn−1 in the
polynomial ring R = K[X1, ...,Xn; Y1,... Yn], where In−1 (resp.
Jn−1) is generated by all square-free monomials of degree n−1 in the
variables X1,..,Xn (resp. Y1, .., Yn). In particular, the dimension
and the depth of SymR(L) are investigated by techniques of Gröbner
bases and theory of s-sequences.
Vol. 17 (2016), No. 2, pp. 777-789
DOI: 10.18514/MMN.2017.1323