A Course in Universal Algebra
by S. Burris, H.P. Sankappanavar
Publisher: Springer-Verlag 1982
Number of pages: 331
This text is not intended to be encyclopedic; rather, a few themes central to universal algebra have been developed suficiently to bring the reader to the brink of current research. The choice of topics most certainly reflects the authors' interests: a brief but substantial introduction to lattices, the most general and fundamental notions of universal algebra, a careful development of Boolean algebras, discriminator varieties, the introduction to some basic concepts, tools, and results of model theory.
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by Pierre Schapira - University of Luxemburg
These lecture notes are an elementary introduction to the language of categories and sheaves. From the table of contents: Linear algebra over a ring; The language of categories; Sheaves (Flabby sheaves and soft sheaves, Cohomology of sheaves).
by Michael Artin
From the table of contents: Morita equivalence (Hom, Bimodules, Projective modules ...); Localization and Goldie's theorem; Central simple algebras and the Brauer group; Maximal orders; Irreducible representations; Growth of algebras.
by W. B. Vasantha Kandasamy - American Research Press
Near-rings are one of the generalized structures of rings. This is a book on Smarandache near-rings where the Smarandache analogues of the near-ring concepts are developed. The reader is expected to have a background in algebra and in near-rings.
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This tutorial is intended to give an accessible introduction to Hopf algebras. The mathematical context is that of representation theory, and we also illustrate the structures with examples taken from combinatorics and quantum physics.