کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390436 661256 2008 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Category theoretic aspects of chain-valued frames: Part I: Categorical and presheaf theoretic foundations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Category theoretic aspects of chain-valued frames: Part I: Categorical and presheaf theoretic foundations
چکیده انگلیسی

This paper is Part I of a two-part series dealing with category theoretic aspects of chain-valued frames. A new categorical motivation for lattice-valued frames is given from presheaves, and then, under the assumption that L be a complete chain, it is established that standard category–theoretic properties (completeness, cocompleteness, factorization structures) hold for L-Frm (the category of L-frames and L-frame morphisms), properties which are a platform for the “upper” free functor L and “lower” free functor R used in Part II to give a broad range of applications of chain-valued frames to lattice-valued topology.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 159, Issue 5, 1 March 2008, Pages 501-528