ACTIONS OF A SEPARATELY STRICT CPO-MONOID ON POINTED DIRECTED COMPLETE POSETS

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MOGHBELI DAMANEH H.

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Journal: CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS Year:2015 | Volume:3 | Issue:1 Page(s): 21-42

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Title

ACTIONS OF A SEPARATELY STRICT CPO-MONOID ON POINTED DIRECTED COMPLETE POSETS

Author(s)

MOGHBELI DAMANEH H. | Issue Writer Certificate

Keywords

DIRECTED COMPLETE PARTIALLY ORDERED SETQ4

PRODUCTQ4

COPRODUCTQ4

CARTESIAN CLOSEDQ4

Abstract

In the present article, we study some categorical properties of the categoryCpoSep-S of all separately strict S-cpo’s; cpo’s equipped with a compatible right action of a separately strict cpo-monoidS which is strict continuous in each component. In particular, we show that this category is reflective and coreflective in the category of S-cpo’s, find the free and cofree functors, characterize PRODUCTs and COPRODUCTs. Furthermore, epimorphisms and monomorphisms inCpoSep-S are studied, and show that CpoSep-S is not CARTESIAN CLOSED.

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APA: Copy

MOGHBELI DAMANEH, H.. (2015). ACTIONS OF A SEPARATELY STRICT CPO-MONOID ON POINTED DIRECTED COMPLETE POSETS. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 3(1), 21-42. SID. https://sid.ir/paper/255423/en

Vancouver: Copy

MOGHBELI DAMANEH H.. ACTIONS OF A SEPARATELY STRICT CPO-MONOID ON POINTED DIRECTED COMPLETE POSETS. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2015;3(1):21-42. Available from: https://sid.ir/paper/255423/en

IEEE: Copy

H. MOGHBELI DAMANEH, “ACTIONS OF A SEPARATELY STRICT CPO-MONOID ON POINTED DIRECTED COMPLETE POSETS,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 3, no. 1, pp. 21–42, 2015, [Online]. Available: https://sid.ir/paper/255423/en

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