1
Professor of Mathematics of Shahid Beheshti University
2
PhD student at the Department of Mathematics of Shahid Beheshti University
Abstract
In this paper, some categorical properties of the category ${bf Cpo}_{{bf Act}text{-}S}$ of all {cpo $S$-acts}, cpo's equipped with actions of a monoid $S$ on them, and strict continuous action-preserving maps between them is considered. In particular, we describe products and coproducts in this category, and consider monomorphisms and epimorphisms. Also, we show that the forgetful functor from ${bf Cpo}_{{bf Act}text{-}S}$ to the category of cpo's has both a left and a right adjoint.
Mahmoudi, M. & Moghbeli-Damaneh, H. (2015). The category of monoid actions in Cpo. Bulletin of the Iranian Mathematical Society, 41(1), 159–175.
MLA
Mahmoudi, M., & Moghbeli-Damaneh, H. "The category of monoid actions in Cpo", Bulletin of the Iranian Mathematical Society, 41, 1, 2015, 159–175.
HARVARD
Mahmoudi, M., & Moghbeli-Damaneh, H. (2015). 'The category of monoid actions in Cpo', Bulletin of the Iranian Mathematical Society, 41(1), pp. 159–175.
CHICAGO
Mahmoudi, M. & Moghbeli-Damaneh, H., "The category of monoid actions in Cpo." Bulletin of the Iranian Mathematical Society, 41 1 (2015): 159–175,
VANCOUVER
Mahmoudi M., Moghbeli-Damaneh H. The category of monoid actions in Cpo. BIMS. 2015;41(1):159–175.
