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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