Abelian Groups and Noncommutative Rings : A Collection of Papers in Memory of Robert B. Warfield, Jr.

Intro -- Contents -- Preface -- Robert Breckenridge Warfield, Jr. -- The abelian group papers of Robert B. Warfield, Jr . -- Warfield in ring theory -- Endomorphism rings, tensor products and fuchs' problem 47 -- Endomorphism rings of p-groups having length cofinal with ω -- Skew differential operators on commutative rings -- Isomorphisms from top to bottom -- Power intersection in Noetherian P.I. rings -- Colimits of functors and grothendieck groups of infinite group algebras -- Modules over hereditary rings -- An explicit description of all simple k([x]][ә]-modules -- Countable Butler groups -- An Unbounded localizable clique -- The Auslander-Reiten translate -- On the abundance of N1-separable modules -- Graded BGG algebras -- Krull and global dimension of certain iterated skew polynomial rings -- Prime factor series of modules over a Noetherian algebra -- Enveloping algebras of solvable Lie superalgebras are catenary -- Prime and primitive ideals in enveloping algebras of solvable Lie superalgebras -- Endomorphism algebras of not necessarily cotorsion-free modules -- Direct sum decompositions of vector spaces equipped with linear and bilinear forms -- Maximal orders and deformations of modular group algebras -- Butler groups and Bext: A constructive view -- Goldie-prime serial rings -- A Connes spectrum for Hopf algebras -- Minimal regular rings -- The Loewy length of the Jacobson radical of a bounded endomorphism ring -- Warfield duality and irreducible groups -- The constructive theory of countably generated Warfield modules -- A note on generic division algebras.

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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.