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   the categories of lattice-valued maps, equalities, free objects, and c-reticulation  
   
نویسنده karimi feizabadi a.
منبع categories and general algebraic structures with applications - 2019 - دوره : 11 - شماره : 1 - صفحه:93 -111
چکیده    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.
کلیدواژه free object ,ℓ-ring ,ℓ-module ,frame ,cozero map ,semi-cozero map ,the f-zariski topology ,c-reticulation ,lattice-valued map
آدرس islamic azad university, gorgan branch, department of mathematics, iran
پست الکترونیکی akarimi@gorganiau.ac.ir
 
     
   
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