کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9518011 1633860 2005 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Topological semi-abelian algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Topological semi-abelian algebras
چکیده انگلیسی
Given an algebraic theory T whose category of models is semi-abelian, we study the category TopT of topological models of T and generalize to it most classical results on topological groups. In particular, TopT is homological, which includes Barr regularity and forces the Mal'cev property. Every open subalgebra is closed and every quotient map is open. We devote special attention to the Hausdorff, compact, locally compact, connected, totally disconnected and profinite T-algebras.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 190, Issue 2, 30 January 2005, Pages 425-453
نویسندگان
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