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A RELATION BETWEEN THE CATEGORIES Set * , SetT, Set AND SetT

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Year: 2012
COI code: JR_KJMMRC-1-2_004
Paper Language: English

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Authors A RELATION BETWEEN THE CATEGORIES Set * , SetT, Set AND SetT

  S.N. HOSSEINI - SHAHID BAHONAR UNIVERSITY OF KERMAN
  A. ILAGHI-HOSSEINI - SHAHID BAHONAR UNIVERSITY OF KERMAN
  V. AMIRZADEH - DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, I.R.IRAN.

Abstract:

In this article, we have shown, for the add-point monad T, thepartial morphism category Set*is isomorphic to the Kleisli category SetT. Alsowe have proved that the category, SetT, of T-algebras is isomorphic to thecategory Set of pointed sets. Finally we have established commutative squaresinvolving these categories.

Keywords:

monad, partial morphism category, category of pointed sets, Kleisli category, category of T-algebras

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COI code: JR_KJMMRC-1-2_004

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HOSSEINI, S.N.; A. ILAGHI-HOSSEINI & V. AMIRZADEH, 2012, A RELATION BETWEEN THE CATEGORIES Set * , SetT, Set AND SetT, Journal of Mahani Mathematical Research Center 1 (2), https://www.civilica.com/Paper-JR_KJMMRC-JR_KJMMRC-1-2_004.htmlInside the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (HOSSEINI, S.N.; A. ILAGHI-HOSSEINI & V. AMIRZADEH, 2012)
Second and more: (HOSSEINI; ILAGHI-HOSSEINI & AMIRZADEH, 2012)
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