Special monoids inherit two-sided homological finiteness from unit groups; one-relator monoids are bi-FP_infty with Hochschild dimension bounded by 2 or infinite based on whether the relator is a proper power.
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Two-sided homological properties of special and one-relator monoids
Special monoids inherit two-sided homological finiteness from unit groups; one-relator monoids are bi-FP_infty with Hochschild dimension bounded by 2 or infinite based on whether the relator is a proper power.