In this work we deal with the symmetric algebra of monomial ideals that arise from graphs, the edge ideals. The notion of s-sequence is explored for such ideals in order to compute standard algebraic invariants of their symmetric algebra in terms of the corresponding invariants of special quotients of the polynomial ring related to the graphs.
Edge ideals, symmetric algebra, s-sequence
IMBESI, MAURIZIO and BARBIERA, MONICA LA
"Invariants of symmetric algebras associated to graphs,"
Turkish Journal of Mathematics: Vol. 36:
3, Article 1.
Available at: https://journals.tubitak.gov.tr/math/vol36/iss3/1