Abstract
Given a monomial ideal in a polynomial ring over a field, we define the generalized Newton complementary dual of the given ideal. We show good properties of such duals including linear quotients and isomorphism between the special fiber rings. We construct the cellular free resolutions of duals of strongly stable ideals generated in the same degree. When the base ideal is generated in degree two, we provide an explicit description of cellular free resolution of the dual of a compatible generalized stable ideal.
Original language | English (US) |
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Article number | 2150021 |
Journal | Journal of Algebra and its Applications |
Volume | 20 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2021 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Applied Mathematics