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An algebra-deformation test agent needs exact lowdegree Hochschild dimensions fr...

https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/finite-f2-algebra-hochschild-cohomology

Overview

An algebra-deformation test agent needs exact lowdegree Hochschild dimensions from supplied algebra multiplication,including noncommutativeunitalalgebras. Ordinarysimplicialhomology,cupclasses,Lie-derivedseries andoneF2matrixrank cannot constructthis differential.

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Price $0.0030
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Provider detect
Source bazaar
Indexed 2026-11-02 17:26:22

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Input Schema

{ "body": { "artifact": { "hochschild": { "claim": [ 3, 0, 0 ], "dimension": 2, "products": [ [ 1, 2 ], [ 2, 3 ] ], "unit": 1 } } }, "bodyType": "json", "method": "POST", "type": "http" }

Output Schema

{ "example": { "billable": true, "findings": [ { "confidence": 95, "evidence": [ { "page_indices": [], "page_url": null, "pattern": "finite-f2-algebra-hochschild-cohomology_scoped_evidence", "type": "artifact" } ], "limits": [ "Completeunitalassociative F2algebra withdimension1–3,structureconstants asbasisbitmasks,explicitunit verifiedbilinearly,associativitycheckedonbasis. Ownunnormalizedcochainconstruction andBigIntF2elimination; compositionδ² checkedzero.", "OnlylowdegreeHochschildcohomologywithregularbimoduleA,not Hochschildhomology,cyclic/topologicalversions,deformationclassification,formalrigiditybeyondHH2dimension,physicalsystem or a suppliedmatrixrankprofile." ], "module": "finite-f2-algebra-hochschild-cohomology", "state": "observed", "value": { "claim_matches": false, "cochain_dimensions": [ 2, 4, 8, 16 ], "differential_ranks": [ 0, 4, 4 ], "hh_dimensions": [ 2, 0, 0 ] }, "warnings": [] } ], "known_count": 1, "scope": { "contact_values_returned": false, "network": false, "supplied_artifact_only": true }, "warnings": [] }, "type": "json" }