In part I we address the question: which varieties have a decidable first order theory? We confine our attention to varieties whose algebras have modular congruence lattices (i.e., modular varieties), and focus primarily on locally finite varieties, although near the end of the …
"The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics."--Jacket.
Volume I.
"This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, a…
Elements of number theory -- Elements of group theory -- Examples of groups -- Elements of ring theory -- Polynomial rings in one variable -- Elements of field theory -- Examples of applications -- Polynomials in several variables -- Finite fields and their applications -- Finit…
"Beginning with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familiar objects and then uses them to introduce and…
Abstract algebra and famous impossibilities
by Morris, Sidney A., Pearson, Kenneth R., Jones, Arthur
fromUniversitext
Abstract algebra and famous impossibilities
by Morris, Sidney A., Pearson, Kenneth R., Jones, Arthur
fromUniversitext