A representation theorem for quantale valued sup-algebras
Jan Paseka, Radek \v{S}lesinger
TL;DR
This paper introduces a representation theorem for $Q$-sup-algebras, generalizing existing theorems for quantales and sup-algebras, and explores their categorical properties.
Contribution
It presents a new representation theorem for $Q$-sup-algebras, extending classical results and analyzing their categorical structure.
Findings
Established a general representation theorem for $Q$-sup-algebras
Identified key properties of the category of $Q$-sup-algebras
Extended classical results to a broader algebraic framework
Abstract
With this paper we hope to contribute to the theory of quantales and quantale-like structures. It considers the notion of -sup-algebra and shows a representation theorem for such structures generalizing the well-known representation theorems for quantales and sup-algebras. In addition, we present some important properties of the category of -sup-algebras.
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