On locally compact shift continuous topologies on the semigroup ${\mathbf{B}}_{[0,\infty )}$ with an adjoined compact ideal

Oleg Gutik, Markian Khylynskyi

Let ${\mathbf{B}}_{[0,\infty )}$ be the semigroup which is defined in the Ahre paper \cite{Ahre=1981}. The semigroup ${\mathbf{B}}_{[0,\infty )}$ with the induced usual topology…