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مقالات فارسیISIکنفرانسهاژورنالها

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

Publish place: Categories and General Algebraic Structures with Applications، Vol: 11، Issue: 0
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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https://civilica.com/doc/1267962

شناسه ملی سند علمی:

JR_CGASAT-11-0_004

تاریخ نمایه سازی: 23 شهریور 1400

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:

Free object , ell-ring , ell-module , frame , cozero map , semi-cozero map , the F-Zariski topology , mathcal C-reticulation , lattice-valued map

Authors

Abolghasem Karimi Feizabadi

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

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