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Asia Rauf: Stanley decompositions, pretty clean filtrations and reductions modulo regular elements, p.347-354

Abstract:

We study the behavior of Stanley decompositions and of pretty clean filtrations under reduction modulo a regular element.

Key Words: Monomial ideals, Stanley decompositions, Stanley depth, Prime filtrations, Pretty clean filtrations.

2000 Mathematics Subject Classification: Primary: 13H10, Secondary: 13P10, 13C14, 13F20.

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