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Abstract:
We determine all arbitrary lexsegment ideals with linear quotients and we describe their minimal free resolutions, as well as, their Hilbert series, Betti numbers and projective dimension. We also give some algorithms useful to study monomial ideals with linear quotients.
Key Words: Lexsegment ideals, linear quotients, mapping cone, minimal resolution.
2000 Mathematics Subject Classification: Primary: 16E05, Secondary: 16E10.
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