Globalizations for partial (co)actions on coalgebras

• Date: 2019
• Main Authors: Castro, Felipe, Quadros, Glauber
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2019
• Subjects: Hopf algebras; partial action; partial coaction; globalization; partial module coalgebra; partial comodule coalgebra; 16T15; 16T99; 16W22
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/253
• Journal Title: Algebra and Discrete Mathematics

In this paper, we introduce the notion of globalization for partial module coalgebra and for partial comodule coalgebra. We show that every partial module coalgebra is globalizable exhibiting a standard globalization. We also show the existence of globalization for a partial comodule coalgebra, prov...