Abstract
In this paper, we give an alternative representation of a free S-quantale over a poset. Furthermore, we give the concrete forms of free and cofree S-quantales over a sup-lattice. Finally, we give an example to present that a cofree S-quantale over a poset does not always exist.
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The authors are very grateful to the referee for his (her) valuable comments and suggestions.
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Communicated by Presented by Vincenzo Marra.
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The research was supported by the National Natural Science Foundation of China under Grant no. 11531009.
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Zhang, X., Zhao, B. Free and cofree S-quantales. Algebra Univers. 81, 23 (2020). https://doi.org/10.1007/s00012-020-00653-x
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DOI: https://doi.org/10.1007/s00012-020-00653-x