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

Publish Year: 1398
Type: Journal paper
Language: English
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JR_CGASAT-11-0_004

Index date: 14 September 2021

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

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

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

Abolghasem Karimi Feizabadi

Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran.

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