Notes on topological rings
Keyword(s):
We prove that every infinite nilpotent ring R admits a ring topology T for which (R, T ) has an open totally bounded countable subring with trivial multiplication. A new example of a compact ring R for which R2 is not closed, is given. We prove that every compact Bezout domain is a principal ideal domain.
Keyword(s):
1979 ◽
Vol 20
(2)
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pp. 247-252
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Keyword(s):
1971 ◽
Vol 5
(1)
◽
pp. 87-94
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Keyword(s):
1991 ◽
Vol 157
◽
pp. 141-145
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1969 ◽
Vol 10
(3-4)
◽
pp. 395-402
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Keyword(s):
1991 ◽
Vol 12
(3)
◽
pp. 581-591
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