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Theories of Abelian groups with predicates specifying a subgroup

✍ Scribed by A. M. Slobodskoi; É. I. Fridman

Publisher
Springer US
Year
1975
Tongue
English
Weight
249 KB
Volume
14
Category
Article
ISSN
0002-5232

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📜 SIMILAR VOLUMES

The Elementary Theory of Torsionfree Abe
The Elementary Theory of Torsionfree Abelian Groups With a Predicate Specifying a Subgroup
✍ 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