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 D. Rogalski - arXiv
These lecture notes are an expanded version of the author's lectures at a graduate workshop. The main topics discussed are Artin-Schelter regular algebras, point modules, and the noncommutative projective scheme associated to a graded algebra.
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The Campbell Baker Hausdorff formula, sl(2) and its representations, classical simple algebras, Engel-Lie-Cartan-Weyl, conjugacy of Cartan subalgebras, simple finite dimensional algebras, cyclic highest weight modules, Serre’s theorem, and more.
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