Addendum to ``Countable algebra and set existence axioms'' (Q1063594)
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scientific article; zbMATH DE number 3918363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Addendum to ``Countable algebra and set existence axioms'' |
scientific article; zbMATH DE number 3918363 |
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Addendum to ``Countable algebra and set existence axioms'' (English)
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1985
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The authors admit that (one direction of) the proof of Theorem 3.1 of the above paper (see Zbl 0575.03038) is flawed; they retract the remark following that proof, which was based on the flawed part; and they provide an alternate proof of the theorem, strengthening it at the same time by adding to the two equivalent conditions a third one: (3) Every countable commutative ring with a unit has a radical ideal. Finally they fill the two question marks on top of page 148 by results from the literature.
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weakest possible subsystem
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second-order arithmetic
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encoding of structures
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reverse mathematics
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comprehension
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0.9086652
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0.87252855
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0.8607941
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