کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8897605 1630744 2018 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Uniform Birkhoff
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Uniform Birkhoff
چکیده انگلیسی
We show that pseudovarieties of finitely generated algebras, i.e., classes C of finitely generated algebras closed under finite products, homomorphic images, and subalgebras, can be described via a uniform structure UC on the free algebra for C: the members of C then are precisely those finitely generated algebras A for which the natural mapping from the free algebra onto the term clone of A is well-defined and uniformly continuous with respect to the uniformity UC and the uniformity of pointwise convergence on the term clone of A, respectively. Our result unifies earlier theorems describing pseudovarieties of finite algebras and the pseudovariety generated by a single oligomorphic algebra.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 5, May 2018, Pages 1242-1250
نویسندگان
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