Azumaya Algebras, Actions, and Modules.

Intro -- Contents -- Preface -- Biography of Goro Azumaya -- List of Participants -- Geometry of Quantum Planes -- Locally Pure-Projective Modules -- On the Blattner-Montgomery Duality Theorem for Hopf Algebras -- Actions of Solvable Algebraic Groups on Noncommutative Rings -- Nontrivial, Locally Trivial Azumaya Algebras -- The Cartan Determinant and Global Dimension of Artinian Rings -- Integral Representations of Finite Groups with Finite Representation Type -- Homomorphisms Between Ore Extensions -- Differential Identities of Prime Rings, Kharchenko's Theorem, and Applications -- Hopf Galois Extensions -- Enveloping Algebras of Lie Superalgebras: A Survey -- Constructing Nonstandard Uniserial Modules over Valuation Domains -- What Makes A Skew Group Ring Prime? -- Wedderburn's Method and Algebraic Elements of Simple Artinian Rings -- Finite Dimensional Division Algebras -- Gubeladze's Proof of Anderson's Conjecture -- On Azumaya Projective Group Rings -- Some Ring Themes in the Theory of Varieties of Group Representations -- Valuations on Tensor Products of Symbol Algebras -- Torsion-Free Modules over Regular Domains of Dimension Two.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.