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Topological Projective Covers for Topological Groups | ||
| journal of the college of basic education | ||
| Article 1, Volume 23, Issue 99, 2017, Pages 129-140 | ||
| Author | ||
| Mohammed Jabbar Hussein | ||
| Abstract | ||
| The primary objective of this paper is to evaluate the tensor product of topological projective cover for topological groups. After we explain that not every topological group has topological group cover. We depend on tensor product properties of topological groups for algebra and we inputed topological properties that suitable of algebra construction as topology from the definition of topological groups and projective on topological projective groups , such that; a topological group q is called topological projective group if for all topological group epimorphism g : A ¾® B and for all topological group morphism f : q ¾® B, there exists a topological group morphism f ' :q ¾® A, for which the following diagram commutes'': | ||
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