id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
bv73bz62h3d	Angela Kohlhaas	The core of an ideal and its relationship to the adjoint and coefficient ideals	2010		.txt	text/plain	190	4	35	In order to prove our main result, we further develop the theory of coefficient ideals in regular local rings of dimension two and study the combinatorial properties of the core of a monomial ideal via the symmetry of its exponent set. We show for certain classes of monomial ideals in the polynomial ring $k[x_1,ldots,x_d]$ over a field of characteristic zero , $core(I)=adj(I^d)$ if and only if $core(I)$ is integrally closed.	cache/bv73bz62h3d.txt	txt/bv73bz62h3d.txt