Emmy Noether: Modern LaTeX Working Corpus and Multilingual Translation Drafts (v26/R819 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_R819integrated_20260712.pdf, a 466-page German working reader. The matching TeX, source witnesses, audit ledgers, integration diff, render checks, prior v26 head, and build logs are grouped in 07_Noether_Current_German_SourceControl_v26_R819integrated_20260712.zip. What changed: the published v26 German base now incorporates the R818 and R819 direct source sweeps of Paper 20, Absolute Irreduzibilitaet in einem beliebigen Grundkoerper. R818 records 17 source-backed corrections across printed pages 26-32, including display-number placement, punctuation and footnote-mark placement, relocation of footnote 8, and the substantive correction U_i to U_lambda. R819 records eight further emphasis and punctuation corrections across printed pages 31-33. No OCR text was promoted. An integration check confirms that every byte outside Paper 20 is preserved from v26 and that the integrated Paper 20 exactly matches the sealed R819 text. 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. 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.