On the relations of isotonian algebras
classification
🧮 math.AC
keywords
algebrasclassesgeneratedisotonianposetsbinomialsclassifieddefining
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It is shown that for large classes of posets $P$ and $Q$, the defining ideal $J_{P,Q}$ of an isotonian algebras is generated by squarefree binomials. Within these classes, those posets are classified for which $J_{P,Q}$ is quadratically generated.
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