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Title:	Monomial ideals, almost complete intersections and the Weak lefschetz Property
Author:	Migliore, Juan C. (Juan Carlos), 1956-; Miró-Roig, Rosa M. (Rosa Maria); Nagel, Uwe
Other authors:	Universitat de Barcelona
Abstract:	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.
Subject(s):	-Àlgebra -Geometria algebraica aritmètica -Àlgebra vectorial -Algebra -Arithmetical algebraic geometry -Vector algebra
Rights:	(c) American Mathematical Society (AMS), 2011
Document type:	Article Article - Published version
Published by:	American Mathematical Society (AMS)
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