Retracts and algebraic properties of cut algebras
Commutative Algebra
2021-05-18 v1 Combinatorics
Abstract
We study cut algebras which are toric rings associated to graphs. The key idea is to consider suitable retracts to understand algebraic properties and invariants of such algebras like being a complete intersection, having a linear resolution, or the Castelnuovo-Mumford regularity. Throughout the paper, we discuss several examples and pose some problems as well.
Keywords
Cite
@article{arxiv.1608.04973,
title = {Retracts and algebraic properties of cut algebras},
author = {Tim Roemer and Sara Saeedi Madani},
journal= {arXiv preprint arXiv:1608.04973},
year = {2021}
}
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32 pages