Download e-book for kindle: Algebraic Patching (Springer Monographs in Mathematics) by Moshe Jarden

By Moshe Jarden

ISBN-10: 3642151272

ISBN-13: 9783642151279

ISBN-10: 3642266517

ISBN-13: 9783642266515

Assuming simply easy algebra and Galois idea, the ebook develops the strategy of "algebraic patching" to achieve finite teams and, extra ordinarily, to unravel finite break up embedding difficulties over fields. the tactic succeeds over rational functionality fields of 1 variable over "ample fields". between others, it results in the answer of 2 relevant ends up in "Field Arithmetic": (a) absolutely the Galois workforce of a countable Hilbertian pac box is unfastened on countably many turbines; (b) absolutely the Galois staff of a functionality box of 1 variable over an algebraically closed box $C$ is freed from rank equivalent to the cardinality of $C$.

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Algebraic Patching (Springer Monographs in Mathematics) by Moshe Jarden

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