Abstract
This paper concerns some types of coherent quantale morphisms: Baer, minimalisant, quasi rigid, quasi r- and quasi morphisms. Firstly, we study how the reticulation functor preserves the properties that define these types of quantale morphisms. Secondly, we prove some characterization theorems for quasi rigid, quasi r- and quasi morphisms. These theorems extend some results existing in the literature of ring extensions and frame extensions.
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