TY - JOUR
T1 - Monomial ideals, almost complete intersections and the weak lefschetz property
AU - Migliore, Juan C.
AU - MirÓ-Roig, Rosa M.
AU - Nagel, Uwe
PY - 2011/1
Y1 - 2011/1
N2 - Many algebras are expected to have the Weak Lefschetz property, although this is often very difficult to establish. We illustrate the subtlety of the problem by studying monomial and some closely related ideals. Our results exemplify the intriguing dependence of the property on the characteristic of the ground field and on arithmetic properties of the exponent vectors of the monomials.
AB - Many algebras are expected to have the Weak Lefschetz property, although this is often very difficult to establish. We illustrate the subtlety of the problem by studying monomial and some closely related ideals. Our results exemplify the intriguing dependence of the property on the characteristic of the ground field and on arithmetic properties of the exponent vectors of the monomials.
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U2 - 10.1090/S0002-9947-2010-05127-X
DO - 10.1090/S0002-9947-2010-05127-X
M3 - Article
AN - SCOPUS:77958003334
SN - 0002-9947
VL - 363
SP - 229
EP - 257
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 1
ER -