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In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In the back of my mind, I thought it would be nice someday to write a book on field theory, one of my fav
The aim of this paper is to present a generalized form of the Galois connection between the intermediate ΓΏelds of a ΓΏeld extension and the subgroups of the corresponding Galois group. We prove that the fundamental theorem of Galois theory accepts a generalization in the fuzzy framework.
From Math Reviews: "This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework