9781334017100 - concerning compact kürschak fields: a dissertation, submitted to the faculty of the ogden graduate school of science in candidacy for the degree of ... department of mathematics (classic reprint) de gokhale, vishnu dattatreya (3 resultados)

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Paperback. Condición: New. Print on Demand. This book presents a detailed investigation into the properties of a mathematical concept known as compact Kurschak fields. It explores the mathematical concept of compactness and how it manifests in these fields and their algebraic extensions. By creating a system of elements, called…T3, with specific mathematical properties, the author examines the characteristics of these fields and the impact of adjoining algebraic elements to them. The book develops an extensive theory on the existence or non-existence of four propertiesâ"characteristic non-zero, algebraic closure, perfection, and compactnessâ"in various combinations, establishing the existence of 11 out of the 24 possible combinations and disproving the remaining 5. Through examining the interplay of these properties, the book contributes to a deeper understanding of the structure and behavior of compact Kurschak fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.