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Improve algebra structure #665

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Improve algebra structure #665

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Pratyush
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Description

Adds multiplicative groups to match the additive group structure, and moves these basic traits to a new crate.


Before we can merge this PR, please make sure that all the following items have been
checked off. If any of the checklist items are not applicable, please leave them but
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  • Targeted PR against correct branch (master)
  • Linked to GitHub issue with discussion and accepted design OR have an explanation in the PR that describes this work.
  • Wrote unit tests
  • Updated relevant documentation in the code
  • Added a relevant changelog entry to the Pending section in CHANGELOG.md
  • Re-reviewed Files changed in the GitHub PR explorer

@Pratyush Pratyush requested review from a team as code owners July 24, 2023 15:36
@Pratyush Pratyush requested review from mmagician and weikengchen and removed request for a team July 24, 2023 15:36
@Pratyush Pratyush marked this pull request as draft July 24, 2023 15:36
@mmaker mmaker marked this pull request as ready for review July 24, 2023 18:07
@Pratyush
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@mmaker I have quite a few local changes which might conflict with your commits, so I think it might be better for me to push those before we fix the compiler errors.

@mmaker
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mmaker commented Jul 24, 2023

whoops, alright sorry about that! Feel free to force-push

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mmaker commented Jul 29, 2023

@Pratyush sweet, let me know if you need to offload some other tasks before this gets reviewed

@weikengchen
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@Pratyush this PR is still draft, right?

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ark_ff::batch_inversion<F: Field> should be F::batch_inversion where F: Field create new ark-group crate
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