The category of monoid actions in Cpo

نویسندگان

  • M. Mahmoudi Professor of Mathematics of Shahid Beheshti University
چکیده مقاله:

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.

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عنوان ژورنال

دوره 41  شماره 1

صفحات  159- 175

تاریخ انتشار 2015-02-01

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