On some Gelfand-Mazur like theorems in Banach algebras
1979 ◽
Vol 20
(2)
◽
pp. 211-215
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Keyword(s):
The following Gelfand-Mazur like theorems are proved in this paper:(1) A complex Banach algebra which is locally finite, and which is also an integral domain, is isomorphic to the complex field .(2) A complex Banach algebra which is a noetherian domain is isomorphic to .(3) A complex Banach algebra which is a principal ideal domain is isomorphic to .An application is given to the algebra of all complex formal power series in several variables.
1979 ◽
Vol 20
(2)
◽
pp. 247-252
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1981 ◽
Vol 23
(3)
◽
pp. 479-480
Keyword(s):
1974 ◽
Vol 17
(3)
◽
pp. 263-273
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Keyword(s):
1993 ◽
Vol 47
(3)
◽
pp. 505-519
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Keyword(s):
1975 ◽
Vol 20
(4)
◽
pp. 504-510
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Keyword(s):
1988 ◽
Vol s2-37
(2)
◽
pp. 331-350
1969 ◽
Vol 1
(3)
◽
pp. 419-424
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Keyword(s):
1973 ◽
Vol 14
(2)
◽
pp. 128-135
◽
2019 ◽
Vol 18
(04)
◽
pp. 1950067
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Keyword(s):
1969 ◽
Vol 9
(3-4)
◽
pp. 275-286
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