Another look on tense and related operators

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Authors	BOTUR Michal PASEKA Jan SMOLKA Richard
Year of publication	2022
Type	Article in Periodical
Magazine / Source	Algebra Universalis
MU Faculty or unit	Faculty of Science
Citation
Web	https://arxiv.org/pdf/2207.05453.pdf https://link.springer.com/article/10.1007/s00012-022-00794-1
Doi	http://dx.doi.org/10.1007/s00012-022-00794-1
Keywords	Tense operator; Sup-semilattice; Frame; Poset; Nucleus; Prenucleus
Description	Motivated by the classical work of Halmos on functional monadic Boolean algebras, we derive three basic sup-semilattice constructions, among other things, the so-called powersets and powerset operators. Such constructions are extremely useful and can be found in almost all branches of modern mathematics, including algebra, logic, and topology. Our three constructions give rise to four covariant and two contravariant functors and constitute three adjoint situations we illustrate in simple examples.
Related projects:	Nové přístupy k agregačním operátorům v analýze a zpracování dat Ortomodularita z různých pohledů