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@article{2247867, author = {Botur, Michal and Paseka, Jan and Smolka, Richard}, article_number = {4}, doi = {http://dx.doi.org/10.1007/s00012-022-00794-1}, keywords = {Tense operator; Sup-semilattice; Frame; Poset; Nucleus; Prenucleus}, language = {eng}, issn = {0002-5240}, journal = {Algebra Universalis}, title = {Another look on tense and related operators}, url = {https://link.springer.com/article/10.1007/s00012-022-00794-1}, volume = {83}, year = {2022} }
TY - JOUR ID - 2247867 AU - Botur, Michal - Paseka, Jan - Smolka, Richard PY - 2022 TI - Another look on tense and related operators JF - Algebra Universalis VL - 83 IS - 4 SP - 1-29 EP - 1-29 PB - Springer Basel AG SN - 00025240 KW - Tense operator KW - Sup-semilattice KW - Frame KW - Poset KW - Nucleus KW - Prenucleus UR - https://link.springer.com/article/10.1007/s00012-022-00794-1 N2 - 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. ER -
BOTUR, Michal, Jan PASEKA a Richard SMOLKA. Another look on tense and related operators. \textit{Algebra Universalis}. Springer Basel AG, 2022, roč.~83, č.~4, s.~1-29. ISSN~0002-5240. Dostupné z: https://dx.doi.org/10.1007/s00012-022-00794-1.
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