Bornological Linearly Topologized Modules Over A Discrete Valuation Ring
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نویسنده
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Pombo Jr. D. P.
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منبع
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Journal Of Linear And Topological Algebra - 2022 - دوره : 11 - شماره : 2 - صفحه:123 -128
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چکیده
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In this work the notion of a bornological linearly topologized module over a discrete valuation ring is introduced and it is shown that certain semimetrizable linearly topologized modules are bornological. the main result is a characterization of bornological linearly topologized modules, from which the completeness and the quasi-completeness of certain linearly topologized modules of continuous linear mappings are derived.
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کلیدواژه
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Discrete Valuation Rings ,Linearly Topologized Modules ,Continuity Of Linear Mappings
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آدرس
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Universidade Federal Fluminense, Campus Do Gragoatá, Instituto De Matem´Atica E Estatıstica, Brazil
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پست الکترونیکی
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dpombojr@gmail.com
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