Timeline for A certain property of integral domains $A \subseteq B$ with $Q(A) \cap B= A$
Current License: CC BY-SA 4.0
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Sep 13, 2020 at 15:20 | history | edited | user237522 | CC BY-SA 4.0 |
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Sep 13, 2020 at 15:14 | history | edited | user237522 | CC BY-SA 4.0 |
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Feb 5, 2020 at 22:14 | comment | added | user237522 | I have now found a partial answer to a special case of my question, namely the case where $n \leq 1$ (I suspect that a similar argument holds for any $n \in \mathbb{N}$): If $A,B$ are both UFD's and every irreducible element of $A$ remains irreducible in $B$, then property $P$ is satisfied. Perhaps I will later add the argument. | |
Feb 4, 2020 at 2:51 | history | edited | user237522 | CC BY-SA 4.0 |
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Feb 4, 2020 at 2:19 | history | edited | user237522 | CC BY-SA 4.0 |
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Feb 4, 2020 at 2:14 | comment | added | user237522 | @MartinBrandenburg, thank you. Yes, I want to say that $\tilde{a_i} \in B$ for all $i$ (or $b \in A$). I now edited my question. | |
Feb 4, 2020 at 2:12 | history | edited | user237522 | CC BY-SA 4.0 |
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Feb 4, 2020 at 2:05 | history | edited | user237522 | CC BY-SA 4.0 |
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Feb 4, 2020 at 1:57 | comment | added | Martin Brandenburg | Do you want to say $a_i \in B$ for all $i$? | |
Feb 4, 2020 at 0:01 | history | edited | user237522 | CC BY-SA 4.0 |
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Feb 3, 2020 at 23:53 | history | edited | user237522 | CC BY-SA 4.0 |
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Feb 3, 2020 at 23:47 | history | edited | user237522 | CC BY-SA 4.0 |
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Feb 3, 2020 at 23:40 | history | asked | user237522 | CC BY-SA 4.0 |