Emmy Noether: Modern LaTeX Working Corpus and Multilingual Translation Drafts (v26/R822 Paper 20 Source Integration)

This is the reader-facing Emmy Noether working record for the Modern LaTeX Editions of Mathematics Manuscripts project. This version fronts 00_Noether_German_Cumulative_Working_SourceControl_v26_R822integrated_20260717.pdf, a 466-page German working reader. The matching TeX, source witnesses, integration diff, render checks, build logs, and original R822 audit package are grouped in 07_Noether_Current_German_SourceControl_v26_R822integrated_20260717.zip. What changed: R822 makes four bounded direct-source refinements to Paper 20, Absolute Irreduzibilitaet in einem beliebigen Grundkoerper: it restores the sentence-bridge dash in footnote 2 on printed p26, the source two-line semicolon structure of display (4) on p28, the final semicolon of display (8) on p29, and German quotation marks in footnote 10 on p31. No OCR text was promoted. Guarded integration proves that every byte outside Paper 20 is preserved from v26/R821 and that integrated Paper 20 exactly matches the sealed R822 input. Render differences are confined to output pp218-220; pp221-223 are pixel-identical to R821. Status caveat: this is a serious source-repair and translation working corpus, not a critical edition, author-wide source-faithfulness certification, paper-by-paper certification, complete multilingual synchronization, or publication-grade proofreading. Source-audit depth varies by paper, and the retained English and multilingual readers predate some German repairs. Inherited terms such as COMPLETE, closure, or closed refer only to bounded local tasks. GitHub: corrections, source comparisons, LaTeX fixes, and translation improvements can be suggested via issues or pull requests at https://github.com/KokunoYumeto/modern-latex-manuscripts.