Theory and methodology hold center stage in two dozen papers from the May/June 1991 conference in Colorado Springs on the module theory used in advanced algebra. They consider the relationship between the structure of rings, their modules, the endomorphism rings of their modules, and homological algebra; locally equivalent maps between modules and more generally locally equivalent complexes of modules; the homological behavior of finite dimensional algebras, and other topics. Reproduced from typescripts, many double-spaced. No index. Annotation copyright Book News, Inc. Portland, Or.
A collection of articles embodying the work presented at the 1991 Methods in Module Theory Conference at the University of Colorado at Colorado Springs - facilitating the explanation and cross-fertilization of new techniques that were developed to answer a variety of module-theoretic questions.
"Butler Groups, Representations of Finite Posets, and Modules over
Multiple Pullback Rings, David M. Arnold Left Almost Serial Rings and the
Cartan Determinant Conjecture, W. D. Burgess and K. R. Fuller Tilting and the
Cartan Determinant, R. R. Colby A Cotilting Theorem for Rings, R. R. Coby
Direct Sums and Subdirect Products, John Dauns Examples of Reflexive Modules,
Frank DeMeyer and Kim Regnier E-Uniserial Abelian Groups, Manfred Dugas and
Bruce Olberding Category Equivalences Induced by Hom and Tensor Funtors,
Theodore G. Faticoni A Note on Proper Classes of Exact Sequences, Anthony J.
Giovannitti Bimodules over Pi Rings, Robert M. Guralnick A Characterization
of Dedekind-Like Orders that Are Bass, Jeremey Haefner and Lee Klingler The
Ratliff-Rush Ideals in a Noetherian Ring: A Survey, William Heinzer, Bernard
Johnston, and David Lantz Syzygies and Homological Dimensions over Left
Serial Rings, Birge Zimmermann Huisgen Some New K-Theoretic Invariants for
Commutative Rings, Steven E. Landburg Irect-Sum Cancellation and Genus Class
Groups, Lawrence S. Levy Orders in Block Matrix Rings, M. S. Lin and J. M.
Zelmanowitz On Certain Classes of QI Rings, S. R. Lopez-Permouth and S. T.
Rizvi Colorings of Planar Maps and Residues of 1-Forms, Rick Miranda The
Structure of Serial Rings, Bruno J. Muller Examples of Non-Finitely Generated
Projective Modules, John D. O'Neill Artinian Rings with Linearly Ordered
Two-Sided Ideals, Barbara L. Osofsky and Richard Resco Gradability of
Algebras, Manuel Saorin A Change of Rings for Finitistic Dimension, Jay
Shapiro Modules Approximated by Projectives, Roger Wiegand "
