ADJOINT RELATIONS FOR THE CATEGORY OF LOCAL DCPOS

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ZHAO BIN; LU JING; WANG KAIYUN

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Paper Information

Journal: CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS Year:2017 | Volume:7 | Issue:SUPP. Page(s): 89-105

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Information Journal Paper

Title

ADJOINT RELATIONS FOR THE CATEGORY OF LOCAL DCPOS

Author(s)

ZHAO BIN | LU JING | WANG KAIYUN | Issue Writer Certificate

Keywords

DCPOQ4

LOCAL DCPOQ4

S-LDCPOQ4

FORGETFUL FUNCTORQ4

Abstract

In this paper, we consider the FORGETFUL FUNCTOR from the category LDCPOof local DCPOs (respectively, DCPO of DCPOs) to the category Pos of posets (respectively, LDCPO of local DCPOs), and study the existence of its left and right adjoints. Moreover, we give the concrete forms of free and cofreeS-lDCPOs over a local DCPO, where S is a local DCPO monoid. The main results are: (1) The FORGETFUL FUNCTORU: LDCPO ®Pos has a left adjoint, but does not have a right adjoint; (2) The inclusion functorI: DCPO®LDCPOhas a left adjoint, but does not have a right adjoint; (3) The FORGETFUL FUNCTORU: LDCPO-S ®LDCPO has both left and right adjoints; (4) If (S, 0, 1) is a good lDCPO-monoid, then the FORGETFUL FUNCTOR U: LDCPO-S ®Pos-S has a left adjoint.

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APA: Copy

ZHAO, BIN, LU, JING, & WANG, KAIYUN. (2017). ADJOINT RELATIONS FOR THE CATEGORY OF LOCAL DCPOS. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 7(SUPP.), 89-105. SID. https://sid.ir/paper/255409/en

Vancouver: Copy

ZHAO BIN, LU JING, WANG KAIYUN. ADJOINT RELATIONS FOR THE CATEGORY OF LOCAL DCPOS. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2017;7(SUPP.):89-105. Available from: https://sid.ir/paper/255409/en

IEEE: Copy

BIN ZHAO, JING LU, and KAIYUN WANG, “ADJOINT RELATIONS FOR THE CATEGORY OF LOCAL DCPOS,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 7, no. SUPP., pp. 89–105, 2017, [Online]. Available: https://sid.ir/paper/255409/en

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