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https://hdl.handle.net/10316/4633
Title: | Topological semi-abelian algebras | Authors: | Borceux, F. Clementino, Maria Manuel |
Keywords: | Topological algebra; Algebraic theory; Semi-abelian category | Issue Date: | 2005 | Citation: | Advances in Mathematics. 190:2 (2005) 425-453 | Abstract: | Given an algebraic theory whose category of models is semi-abelian, we study the category of topological models of and generalize to it most classical results on topological groups. In particular, 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 -algebras. | URI: | https://hdl.handle.net/10316/4633 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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file32ca005f79714a1796ebdc0e2cc2655f.pdf | 331.87 kB | Adobe PDF | View/Open |
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