IRREDUCIBLE DECOMPOSITION OF SQUARE OF EDGE IDEALS
Keywords:
Commutative Algebra; Monomial ideals; Edge ideals; Irreducible decomposition; Corrner elements; Coclique sets.
Abstract
Let R = K[x 1,...,x d] be the polynomial ring in d variables over K, G = (V(G),E(G)) a graph associated with variables {x 1,...,x d } and IG an edge ideal. In this paper, we describe the structure of irreducible decompositions of square of edge ideals IG2 of the polynomial ring via corner elements and coclique sets.
điểm /
đánh giá
Published
2019-09-26
Section
NATURAL SCIENCE – ENGINEERING – TECHNOLOGY