On the lattice of weak topologies on the bicyclic monoid with adjoined zero

A Hausdorff topology \(\tau\) on the bicyclic monoid with adjoined zero \(\mathcal{C}^0\) is called weak if it is contained in the coarsest inverse semigroup topology on \(\mathcal{C}^0\). We show that the lattice \(\mathcal{W}\) of all weak shift-continuous topologies on \(\mathcal{C}^0\) is isomor...

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Bibliographic Details
Date:2020
Main Authors: Bardyla, S., Gutik, O.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2020
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1459
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics