Lexsegment ideals are sequentially Cohen-Macaulay

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

The associated primes of an arbitrary lexsegment ideal $I\subset
S=K[x_1,...,x_n]$ are determined. As application it is shown that $S/I$ is a
pretty clean module, therefore, $S/I$ is sequentially Cohen-Macaulay and
satisfies Stanley's conjecture.

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