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 Scientific Seminar: Topological Algebra Founded by Igor Guran & Oleg Gutik in 2007

 Speaker: Anatolii Savchuk & Oleg Gutik Talk: The semigroup of partial co-finite isometries of positive integers, II When & where: March 21, 2018, at 1505 at Room 149a Abstract: The semigroup $\mathbf{I}\mathbb{N}_{\infty}$ of all partial co-finite isometries of positive integers is discussed. We proved that a congruence on the semigroup $\mathbf{I}\mathbb{N}_{\infty}$ is group if and only if its restriction onto an isomorphic copy of the bicyclic semigroup in $\mathbf{I}\mathbb{N}_{\infty}$ is a group congruence.

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