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516.12+517.5+519.7 (1) |
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SM ISO690:2012 MAHMOUDI, Mojgan, MOGHBELI-DAMANEH, Halimeh. The categories of actions of a dcpo-monoid on directed complete posets. In: Quasigroups and Related Systems, 2015, vol. 23, nr. 2(34), pp. 283-295. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 23, Numărul 2(34) / 2015 / ISSN 1561-2848 | ||||||
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CZU: 516.12+517.5+519.7 | ||||||
Pag. 283-295 | ||||||
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Rezumat | ||||||
In this paper, some categorical properties of the category Cpo-S of all S-cpo's; cpo's equipped with a compatible right action of a cpo-monoid S, with strict continuous actionpreserving maps between them is considered. We also de_ne and consider similarly, the category Dcpo-S of all S-dcpo's, and continuous action-preserving maps between them. In particular, we characterize products and coproducts in these categories. Also, epimorphisms and monomorphisms in Dcpo-S are studied. Further, we show that Cpo-S is not cartesian closed but Dcpo-S is cartesian closed. |
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