The First Syzygy of Hibi Rings Associated with Planar Distributive Lattices

نویسندگان

چکیده

In this article, we give explicit minimal generators of the first syzygy Hibi ring for a planar distributive lattice in terms sublattices. We also characterization when it is linearly related and derive an exact formula Betti number lattice.

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ژورنال

عنوان ژورنال: Acta mathematica Vietnamica

سال: 2022

ISSN: ['0251-4184', '2315-4144']

DOI: https://doi.org/10.1007/s40306-021-00463-w