The categories of lattice-valued maps, equalities, free objects, and $mathcal C$-reticulation
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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.
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Journal title
volume 11 issue Special Issue Dedicated to Prof. George A. Grätzer
pages 93- 112
publication date 2019-07-01
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