Some remarks on the category SET(L), Part II

Authors

  • S. A. Solovyov Department of Mathematics, University of Latvia, 19 Raina Blvd., Riga LV-1586, Latvia. Author

Keywords:

Category theory, L-fuzzy set, functor, special morphism, special object, standard construction

Subjects:

03E72, 04A72, 18B99

Abstract

This paper considers some intrinsic properties of the category SET(L) of L-subsets of sets with a fixed basis L and is a continuation of our previous work [4]. Here we study properties of some abstract functors when applied to the category SET(L) as well as some special objects related to them. In the last section we consider two standard constructions, namely, inverse and direct systems in this category.

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Published

2003-10-15