The Mackey topology in linearly topologized modules

Journal of Linear and Topological Algebra

دوره 12، شماره 02، شهریور 2023، صفحه 91-95   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2023.702218

نویسندگان

D. P. Pombo Jr.^{* 1}؛ P. C. G. Mauro²

¹Instituto de Matem\'{a}tica e Estat\'{i}stica‎, ‎Universidade Federal Fluminense‎, ‎Niter\'{o}i‎, ‎RJ Brasil

²Centro Interdisciplinar de Ci\^{e}ncias da Natureza‎, ‎Universidade Federal da Integra\c{c}\~{a}o Latino-Americana‎, ‎Foz do Igua\c{c}u‎, ‎PR Brasil

چکیده

‎The Mackey topology in the context of Hausdorff linearly topologized modules over a complete discrete valuation ring is introduced and characterizations of this concept are established‎. ‎Moreover the interplay between the concept of Mackey topology and two special classes of linearly topologized modules is discussed‎.

کلیدواژه‌ها

Complete discrete valuation rings؛ linearly topologized modules؛ Mackey topology

مراجع

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