Lcm-lattice, Taylor bases and minimal free resolutions of a monomial ideal. (English) Zbl 1504.13015
Author’s abstract: We give a new method to construct minimal free resolutions of all monomial ideals. This method relies on two concepts: one is the well-known lcm-lattice of a monomial ideal; the other is a new concept called Taylor basis, which describes how a minimal free resolution can be embedded in Taylor resolution. An approximation formula for minimal free resolutions of all monomial ideals is also obtained.
Reviewer: Kriti Goel (Mumbai)
MSC:
| 13D02 | Syzygies, resolutions, complexes and commutative rings |
| 13F55 | Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes |
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