Algebras

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Author(s): C. J. B. Brookes, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part III Lecture Notes
Publisher: University of Cambridge
Year: 2017

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied; abstract algebra; modern algebra

Introduction
Artinian algebras
Artinian algebras
Artin–Wedderburn theorem
Crossed products
Projectives and blocks
K0
Noetherian algebras
Noetherian algebras
More on An(k) and U(g)
Injective modules and Goldie's theorem
Hochschild homology and cohomology
Introduction
Cohomology
Star products
Gerstenhaber algebra
Hochschild homology
Coalgebras, bialgebras and Hopf algebras
Index