Timeline for On the annihilator of a module
Current License: CC BY-SA 4.0
10 events
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Feb 28, 2021 at 4:38 | history | edited | Chris | CC BY-SA 4.0 |
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Feb 25, 2021 at 15:51 | comment | added | abx | @Hailong Dao: You are right, what I meant is that for the general problem (about modules) it is enough to consider faithful modules. But I agree that you cannot do that directly with ideals. | |
Feb 25, 2021 at 15:24 | history | became hot network question | |||
Feb 25, 2021 at 15:07 | comment | added | Hailong Dao | @abx: be careful, an ideal of $A$ might no longer be an ideal of $A$ mod the annihilator. | |
Feb 25, 2021 at 14:02 | answer | added | Hailong Dao | timeline score: 3 | |
Feb 25, 2021 at 10:53 | comment | added | abx | In the case $M$ is an ideal, the answer is positive: this is proved in the answer of Manos to this MSE question (note that quotienting by $\operatorname{Ann}(M) $ reduces to the case $M$ is faithful). I do not know the answer for the general case. | |
Feb 25, 2021 at 7:45 | history | edited | Chris | CC BY-SA 4.0 |
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Feb 25, 2021 at 7:35 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
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Feb 25, 2021 at 7:34 | history | edited | Chris | CC BY-SA 4.0 |
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Feb 25, 2021 at 7:24 | history | asked | Chris | CC BY-SA 4.0 |