On cogrowth function of algebras and its logarithmical gap

HIGHLIGHTS

• who: Alexei Ya. Kanel-Belov and colleagues from the CentreIlan University of Physics and Technology, Dolgoprudny, Russia have published the article: On cogrowth function of algebras and its logarithmical gap, in the Journal: (JOURNAL)
• what: The authors show that the cogrowth function of a finitely presented algebra is either bounded or at least logarithmical. Applying Lemma 8 a times, the authors show that er(R n (W )) ≤ 2a K, which completes the proof. The authors get a contradiction with the uniform recurrence of W if the authors show that the language U is infinite. By . . .
  

   

  

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