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Bergman's Question 15 on Contracted Semigroup Algebras

Distinct nonzero sixth powers of three semigroup elements do not prevent a nonzero complex vector in their contracted span from having zero sixth power.

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Question 15 has a negative answer

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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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