Примери за използване на Galois theory на Английски и техните преводи на Български
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Galois Theory.
Basic Galois Theory.
Fundamental Theorem of Galois Theory.
Galois theory( 1942) Rings with minimum condition 1948.
Generalisations of Galois theory.
Number theory and Galois theory; probability theory; theoretical mechanics;
The fundamental theorem of Galois theory.
In particular he worked on Galois theory, ideals and equations of the fifth degree.
During this time he did some research in Galois theory.
The aim of Galois theory is the study of algebraic extensions of a field.
This work makes Waring one of the earliest contributors to Galois theory.
His first papers in this area were devoted to Galois theory of normal extensions of fields.
His main research during this period was on the embedding problem of Galois theory.
He began to study the Galois theory of equations and from there he was led to study compostion series of groups.
Betti extended andgave proofs relating to the algebraic concepts of Galois theory.
This treatise gave a comprehensive study of Galois theory as well as providing the first ever group theory book.
Another area of algebra which had always attracted Kaluznin's interest was Galois theory.
In Galois theory he showed the asymptotic result that almost all integral algebraic equations have the full symmetric group as Galois group.
The theory that Galois outlined in these papers is now called Galois theory.
With the help of group theory and Galois theory methods Hölder returned to a study of the irreducible case of the cubic in the Cardan- Tartaglia formula in 1891.
My research at Hopkins during the years 1943-46 was mainly in the area of Galois theory and the general structure of rings.
The situation is similar to that with Galois Theory which, today, is formulated in the framework of abstract algebra, and in this form opens new applications and generalizations.
Takagi lectured on group theory, representation theory, Galois theory, and algebraic number theory. .
He also studied Galois theory writing a two volume textbook Basic Galois Theory(1934, 1937) and being the moving force in having the first translation of Galois 's works into Russian in 1936.
The ideas in this work were later employed by Jacobson in his study of the Galois theory of arbitrary finite extensions of fields.
(In fact, in later years, Lev Arkad'evich could still recall great lectures he had heard there on world history, Roman law, etc.)During this time he did some research in Galois theory.
He obtained a doctorate from Rome in 1924 for a doctoral thesis on a topic related to Galois theory which was proposed to him by Castelnuovo.
They include The theory of rings(1943) and the three volume work Lectures in abstract algebra(1951-64) covering basic concepts, linear algebra andthe theory of fields and Galois theory.
His work on algebraic equations involved a study of the fundamental theorem of algebra, Galois theory, and estimating the roots of algebraic equations.
After taking his examinations in 1921, Aleksandrov was appointed as a lecturer at Moscow university and lectured on a variety of topics including functions of a real variable,topology and Galois theory.