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The Theory of Abelian Groups With the Quantifier (≦ x)

✍ Scribed by Andreas Baudisch


Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
784 KB
Volume
23
Category
Article
ISSN
0044-3050

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📜 SIMILAR VOLUMES


The Elementary Theory of Torsionfree Abe
✍ Peter H. Schmitt 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 367 KB 👁 1 views

This is proved by induction on 7n. For ni = 0 (\*) follows immediately from the definitions. Now take a E C,:,,, for m > 0. There is c E B,,,, such t'hat ac E pCp,n,-l + + C,,;f,l+l. There is thus a' E Cl~.flr-l with a E c + pa' + Cl,.,,f+l. By induction hypothesis a' E 6' + C,.,,, for some b' E @ B