Convexity Theories V: Extensions of Absolutely and Totally Convex Modules |
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Authors: | D. Pumplün H. Röhrl |
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Affiliation: | (1) Fachbereich Mathematik, Fern Universität Gesamthochschule in Hagen, 58084 Hagen, Germany |
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Abstract: | The theories of absolutely and totally convex modules are commutative theories and have many properties in common with the theory of modules. Therefore a typical module theoretic notion, namely extensions, is investigated here in these theories. Because of the close connections with Banach spaces extensions of Banach spaces are considered, too. |
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Keywords: | absolutely totally convex module extension coextension (co-) product direct sum |
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