کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4949994 1440353 2017 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On Subset Families That Form a Continuous Lattice
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
On Subset Families That Form a Continuous Lattice
چکیده انگلیسی

It is well known that continuous lattices and algebraic lattices can be respectively represented by the family of all fixed points of the projection operator and the closure operator preserving sups of directed sets on the power set of a set X. Similar to the algebraic ⋂-structure as the concrete representation of algebraic lattices, can we have a the concrete representation of continuous lattices by families of sets? We give a positive answer to this in this paper. Also, as a special type of continuous lattice, a concrete representation of completely distributive complete lattices by families of sets is obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Electronic Notes in Theoretical Computer Science - Volume 333, 19 September 2017, Pages 163-172
نویسندگان
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