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Title

The categories of lattice-valued maps, equalities, free objects, and \mathcal C-reticulation

Year: 1398
COI: JR_CGASAT-11-0_004
Language: EnglishView: 28
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Authors

Abolghasem Karimi Feizabadi - Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran.

Abstract:

In this paper, we study the concept of \mathcal C-reticulation for the category \mathcal C whose objects are lattice-valued maps. The relation between the free objects in \mathcal C and the \mathcal C-reticulation of rings and modules is discussed. Also, a method to construct \mathcal C-reticulation is presented, in the case where \mathcal C is equational. Some relations between the concepts reticulation and satisfying equalities and inequalities are studied.

Keywords:

Paper COI Code

This Paper COI Code is JR_CGASAT-11-0_004. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1267962/

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Karimi Feizabadi, Abolghasem,1398,The categories of lattice-valued maps, equalities, free objects, and \mathcal C-reticulation,https://civilica.com/doc/1267962

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  • Banaschewski, B., "The real numbers in pointfree topology", Texts in ...
  • Banaschewski, B. and Gilmour, C., Pseudocompactness and the cozero part ...
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  • Banaschewski, B. and Gilmour,C., Cozero bases of frames, J. Pure ...
  • Brumfiel, G.W., "Partially Ordered Rings and Semi-Algebraic Geometry", London Math. ...
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  • Kennison, J.F., Integral domain type representations in sheaves and other ...
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  • Joyal, A., Les théoremes de Chevally-Tarski et remarques sur l'algebre ...
  • MacLane, S., "Categories for the Working Mathematicians", Graduate Texts in ...
  • Matutu P., The cozero part of a biframe, Kyungpook Math. ...
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    Paper count: 3,081
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