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FiniteGroups / CONCEPT

Finite Otto congruence quotients are cancellative

Finite semigroups with an Otto congruence have cancellative quotients.

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DIRECT PREREQUISITES1
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THEOREM

Every finite Otto congruence quotient is cancellative

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Bergman's Question 15 on Contracted Semigroup AlgebrasBergman's Question 15 onContracted Semigroup AlgebrasFinite Otto congruence quotients are cancellativeFinite Otto congruencequotients are cancellative
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
FiniteGroups
Node ID
D5/S3/FiniteGroups/FiniteOttoCongruence
Repository path
D5/S3/FiniteGroups/FiniteOttoCongruence.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.