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- Title
Powers of graphs & applications to resolutions of powers of monomial ideals.
- Authors
Cooper, Susan M.; El Khoury, Sabine; Faridi, Sara; Mayes-Tang, Sarah; Morey, Susan; Şega, Liana M.; Spiroff, Sandra
- Abstract
This paper is concerned with the question of whether geometric structures such as cell complexes can be used to simultaneously describe the minimal free resolutions of all powers of a monomial ideal. We provide a full answer in the case of square-free monomial ideals of projective dimension one by introducing a combinatorial construction of a family of (cubical) cell complexes whose 1-skeletons are powers of a graph that supports the resolution of the ideal.
- Subjects
MODULES (Algebra); CELL anatomy
- Publication
Research in the Mathematical Sciences, 2022, Vol 9, Issue 2, p1
- ISSN
2522-0144
- Publication type
Article
- DOI
10.1007/s40687-022-00324-4