Title of article :
The categories of lattice-valued maps, equalities, free objects, and C-reticulation
Author/Authors :
Karimi Feizabadi ، A. Department of Mathematics - Islamic Azad University, Gorgan Branch
Abstract :
In this paper, we study the concept of C-reticulation for the category C whose objects are lattice-valued maps. The relation between the free objects in C and the C-reticulation of rings and modules is discussed. Also, a method to construct C-reticulation is presented, in the case where C is equational. Some relations between the concepts reticulation and satisfying equalities and inequalities are studied.
Keywords :
Free object , ℓ , ring , ℓ , module , frame , cozero map , semi , cozero map , the F , Zariski topology , C , reticulation , lattice , valued map
Journal title :
Categories and General Algebraic Structures with Applications
Journal title :
Categories and General Algebraic Structures with Applications
