Universal Algebra for Computer Science
by Eric G. Wagner
Publisher: Wagner Mathematics 2006
This is an online text on universal algebra with a strong emphasis on applications and examples from computer science. The text introduces some basic algebraic concepts, such as signatures, algebras, homomorphisms, initial algebras, free algebras, and illustrates them with numerous interactive applications to computer science topics.
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by David Surowski
A set of notes for a Higher Algebra course. It covers Group Theory, Field and Galois Theory, Elementary Factorization Theory, Dedekind Domains, Module Theory, Ring Structure Theory, Tensor Products, Zorn’s Lemma and some Applications.
by Leonard Evens - Northwestern University
Contents: Groups; Group actions on sets; Normal series; Ring theory; Modules; Hom and tensor; Field theory; Galois theory; Applications of Galois theory; Infinite extensions; Categories; Multilinear algebra; More ring theory; Localization; etc.
by Leonard E. Dickson - J. Wiley & Sons
This introduction to the classical theory of invariants of algebraic forms is divided into three parts: linear transformations; algebraic properties of invariants and covariants; symbolic notation of Aronhold and Clebsch.
by George B. Seligman - American Mathematical Society
The purpose of the present memoir is to demonstrate the applicability, under certain restrictions on the algebra and the base field, of the techniques used in the determination of all simple Lie algebras of characteristic zero.