Lcm-lattice, Taylor bases and minimal free resolutions of a monomial ideal
نویسندگان
چکیده
We give a new method to construct minimal free resolutions of all monomial ideals. This relies on two concepts: one is the well-known lcm-lattice ideal; other concept called Taylor basis, which describes how resolution can be embedded in resolution. An approximation formula for ideals also obtained.
منابع مشابه
THE LCM-LATTICE in MONOMIAL RESOLUTIONS
Describing the properties of the minimal free resolution of a monomial ideal I is a difficult problem posed in the early 1960’s. The main directions of progress on this problem were: • constructing the minimal free resolutions of special monomial ideals, cf. [AHH, BPS] • constructing non-minimal free resolutions; for example, Taylor’s resolution (cf. [Ei, p. 439]) and the cellular resolutions •...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2021
ISSN: ['1793-6829', '0219-4988']
DOI: https://doi.org/10.1142/s0219498822502164