کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4662980 1345216 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Gödel spaces and perfect MV-algebras
ترجمه فارسی عنوان
فضاهای گودل و جبرهای MV کامل
کلمات کلیدی
جبر MV ؛ جبر MV کامل ؛ جبر گودل؛ فضای پریستلی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات منطق ریاضی
چکیده انگلیسی

The category of Gödel spaces GSGS (with strongly isotone maps as morphisms), which are dually equivalent to the category of Gödel algebras, is transferred by a contravariant functor HH into the category MV(C)GMV(C)G of MV-algebras generated by perfect MV  -chains via the operators of direct products, subalgebras and direct limits. Conversely, the category MV(C)GMV(C)G is transferred into the category GSGS by means of a contravariant functor PP. Moreover, it is shown that the functor HH is faithful, the functor PP is full and the both functors are dense. The description of finite coproduct of algebras, which are isomorphic to Chang algebra, is given. Using duality a characterization of projective algebras in MV(C)GMV(C)G is given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Applied Logic - Volume 13, Issue 3, September 2015, Pages 270–284
نویسندگان
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