کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4597954 1336240 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Non-representable distributive semilattices
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Non-representable distributive semilattices
چکیده انگلیسی
We present two examples of distributive algebraic lattices which are not isomorphic to the congruence lattice of any lattice. The first such example was discovered by F. Wehrung in 2005. One of our examples is defined topologically, the other one involves majority algebras. In particular, we prove that the congruence lattice of the free majority algebra on (at least) ℵ2 generators is not isomorphic to the congruence lattice of any lattice. Our method is a generalization of Wehrung's approach, so that we are able to apply it to a larger class of distributive semilattices.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 212, Issue 11, November 2008, Pages 2503-2512
نویسندگان
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