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Construction of Infinite Finitely Presented Nilsemigroup by Ivanov-Pogodaev, Ilya; Kanel-Belov, Alexey is a scholarly article available to read on EtoBox.

What is Construction of Infinite Finitely Presented Nilsemigroup about?

The paper deals with the solution of Shevrin ans Sapir problem. Infinite finitely presented nilsemigroup is constructed. The construction is based on aperiodic tilings, Goodman-Strauss type theorems on uniformly elliptic space. Space is called {\it uniformly elliptic} iff there is universal constant $\lambda>0$ such that any two points $A$ and $B$ on distant $D$ can be joined by family of geodesic lines generating a disc of wideness $\lambda\cdot D$. Research was supported by the grant RFBR N 14-01-00548

Author

Ivanov-Pogodaev, Ilya; Kanel-Belov, Alexey

Published

2014

Language

EN