Bornological linearly topologized modules over a discrete valuation ring

Journal of Linear and Topological Algebra

دوره 11، شماره 02، شهریور 2022، صفحه 123-128   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2022.1953833.1477

نویسنده

D. P. Pombo Jr.^*

nstituto de Matemática e Estat´ıstica, Universidade Federal Fluminense, Rua Professor Marcos Waldemar de Freitas Reis, s/no, Bloco G, Campus do Gragoatá, 24210-201, Niterói, RJ, Brazil

چکیده

‎In this work the notion of a bornological linearly topologized mo\-dule 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.

کلیدواژه‌ها

Discrete valuation rings؛ linearly topologized modules؛ continuity of linear mappings

مراجع

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