Bornological linearly topologized modules over a discrete valuation ring

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Pombo D.P.

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Journal Paper

Paper Information

Journal: JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA Year:2022 | Volume:11 | Issue:2 Page(s): 123-128

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Title

Bornological linearly topologized modules over a discrete valuation ring

Author(s)

Pombo D.P. | Issue Writer Certificate

Keywords

Discrete valuation rings

linearly topologized modules

continuity of linear mappings

Abstract

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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APA: Copy

Pombo, D.P.. (2022). Bornological linearly topologized modules over a discrete valuation ring. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, 11(2), 123-128. SID. https://sid.ir/paper/994865/en

Vancouver: Copy

Pombo D.P.. Bornological linearly topologized modules over a discrete valuation ring. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA[Internet]. 2022;11(2):123-128. Available from: https://sid.ir/paper/994865/en

IEEE: Copy

D.P. Pombo, “Bornological linearly topologized modules over a discrete valuation ring,” JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, vol. 11, no. 2, pp. 123–128, 2022, [Online]. Available: https://sid.ir/paper/994865/en

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