Linear Maps in Minimal Free Resolutions of Stanley-Reisner Rings
Abstract
:1. Introduction
2. Notation and Preliminaries
2.1. The Linear Part
2.2. Simplicial Chains and Cochains
3. Proof of the Main Result
- for some ,
- ,
- splits into several connected components of with ,
- same as (3), with ,
- is the isolated vertex u.
4. Questions and Open Problems
4.1. Affine Monoid Algebras
4.2. Approximations of Resolutions
4.3. Coefficients in Resolutions
Funding
Acknowledgments
Conflicts of Interest
References
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Katthän, L. Linear Maps in Minimal Free Resolutions of Stanley-Reisner Rings. Mathematics 2019, 7, 605. https://doi.org/10.3390/math7070605
Katthän L. Linear Maps in Minimal Free Resolutions of Stanley-Reisner Rings. Mathematics. 2019; 7(7):605. https://doi.org/10.3390/math7070605
Chicago/Turabian StyleKatthän, Lukas. 2019. "Linear Maps in Minimal Free Resolutions of Stanley-Reisner Rings" Mathematics 7, no. 7: 605. https://doi.org/10.3390/math7070605