feat: first field after algebraically closed nimber#354
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plp127 wants to merge 43 commits intovihdzp:masterfrom
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feat: first field after algebraically closed nimber#354plp127 wants to merge 43 commits intovihdzp:masterfrom
plp127 wants to merge 43 commits intovihdzp:masterfrom
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vihdzp
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Mar 12, 2026
Co-authored-by: Violeta Hernández Palacios <vi.hdz.p@gmail.com>
plp127
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Mar 15, 2026
vihdzp
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Mar 18, 2026
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LMK once you merge and address the various remarks. |
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@vihdzp having addressed |
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We prove that if
tis an algebraically closed nimber, then∗(val t ^ (ω * (1 + val x)))is a ring forx < t, and∗(val t ^ (ω * (1 + val t)))is a field. We compute∗(val t ^ (ω * (1 + val x))) = (t - x)⁻¹.Nimber.IsAlgClosed.isRing_opow_omega0#365Nimber.oeval_inj#366Nimber.IsAlgClosed.pow_eq#367