Pro-compactly Finite MV-Algebras.

Autor: Kianpi, Maurice, Nganou, Jean B.
Zdroj: Applied Categorical Structures; Jun2020, Vol. 28 Issue 3, p367-379, 13p
Abstrakt: We introduce compactly finite MV-algebras and continuous MV-algebras. We also investigate pro-compactly finite MV-algebras, which are the MV-algebras that are inverse limits of systems of compactly finite MV-algebras. We obtain that continuous MV-algebras as well as pro-compactly finite MV-algebras coincide with compact Hausdorff MV-algebras. In addition, further categorical properties of compact Hausdorff MV-algebras such as co-completeness, injective objects, (co)-Hopfian objects are considered and studied. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index