SEMITOPOLOGICAL MODULES
Given a topological ring R, we study semitopological R-modules, construct their completions, Bohr and borno modications. For every topological space X, we construct the free (semi)topological R-module over X and prove that for a k-space X its free semitopological R-module is a topological R-module. Also we construct a Tychono space X whose free semitopological R-module is not a topological R-module.
1978 ◽
Vol 1
(1)
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pp. 87-92
2020 ◽
Vol 9
(3)
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pp. 1421-1431
Keyword(s):
2020 ◽
Vol 9
(7)
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pp. 5243-5249
Keyword(s):
2019 ◽
Vol 7
(1)
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pp. 250-252
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Keyword(s):
2021 ◽
Vol 1941
(1)
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pp. 012025
1970 ◽
Vol 67
(3)
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pp. 553-558
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