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Add several negative properties of LRS_R deduced from those of Top#231

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ScriptRaccoon:mainfrom
dschepler:lrs-not-cartesian-closed
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Add several negative properties of LRS_R deduced from those of Top#231
dschepler wants to merge 4 commits into
ScriptRaccoon:mainfrom
dschepler:lrs-not-cartesian-closed

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Addresses: #227

@ScriptRaccoon ScriptRaccoon linked an issue Jun 6, 2026 that may be closed by this pull request
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ScriptRaccoon commented Jun 7, 2026

Thanks a lot! I am glad that we can finally decide some of the properties of this category. It's also good to see that you could generalize your proof that previously only worked for special ground rings.

I have revised the content page, please check the three 3 commits that I added.

I still need to check the proofs in LRS_R.yaml. I will do this in the evening today.

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What to do with my proof that LRS is not cartesian closed?

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