کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497189 | 1630753 | 2005 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Distributive semilattices as retracts of ultraboolean ones; functorial inverses without adjunction
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A ãâ¨,0ã-semilattice is ultraboolean, if it is a directed union of finite Boolean ãâ¨,0ã-semilattices. We prove that every distributive ãâ¨,0ã-semilattice is a retract of some ultraboolean ãâ¨,0ã-semilattice. This is established by proving that every finite distributive ãâ¨,0ã-semilattice is a retract of some finite Boolean ãâ¨,0ã-semilattice, and this in a functorial way. This result is, in turn, obtained as a particular case of a category-theoretical result that gives sufficient conditions, for a functor Î , to admit a right inverse. The particular functor Î used for the abovementioned result about ultraboolean semilattices has neither a right nor a left adjoint.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 202, Issues 1â3, 1 November 2005, Pages 201-229
Journal: Journal of Pure and Applied Algebra - Volume 202, Issues 1â3, 1 November 2005, Pages 201-229
نویسندگان
Friedrich Wehrung,