Algebras of Lawson monads |
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| Author |
tarasradul@yahoo.co.uk
Faculty of Mechanics and Mathematics, ,Lviv National University
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| Abstract |
We investigate algebras of Lawson monads and show that not all of them can be represented as subalgebras of products of intervals.
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| Keywords |
Lawson monad, subalgebra, product of intervals
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| DOI |
doi:10.30970/ms.22.1.21-26
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Reference |
1. Radul T. On functional representations of Lawson monads, Applied Categorical Structures 9 (2001), 457–463 .
2. Eilenberg S. Moore J. Adjoint functors and triples, Ill. J.Math. 9 (1965), 381–389. 3. Заричный М.М., Радул Т.Н. Монады в категории компактов, Усп. мат. наук, 50 (1995), Вып. 3, 83–108. 4. Шапиро Л.Б. Об операторах продолжения функций и нормальных функторах, Вестник моск. универ. сер.1 (1992) вып.1, 35–42. 5. Radul T. A functional representation of the hyperspace monad, Comment. Math. Univ. Carolin. 38 (1997), 165–168. 6. Teleiko A., Zarichnyi M. Categorical Topology of Compact Hausdorff Spaces, VNTL Publishers, Lviv, 1999. 7. MacLane S. Categories for Working Matematicians, Springer Verlag, 1976. 8. Radul T. Categorical properties of iterated power, Revista Colombiana de Matematicas 35 (2001), 13–20. |
| Pages |
21-26
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| Volume |
22
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| Issue |
1
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| Year |
2004
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| Journal |
Matematychni Studii
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