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Large Modules over Artin Algebras
MAURICE AUSLANDER
Pages 1-17 - Book chapterAbstract only
Reduced Bar Constructions on deRham Complexes
KUO-TSAI CHEN
Pages 19-32 - Book chapterAbstract only
Flatness and Projectivity of Modules That Come from ℂ-Sets
CHARLES CHING-AN CHENG and BARRY MITCHELL
Pages 33-44 - Book chapterAbstract only
Some Properties of Two-Dimensional Poincaré Duality Groups
ELDON DYER and A.T. VASQUEZ
Pages 45-54 - Book chapterAbstract only
Properties Invariant within Equivalence Types of Categories
PETER FREYD
Pages 55-61 - Book chapterAbstract only
Coherence for the Tensor Product of 2-Categories, and Braid Groups
JOHN W. GRAY
Pages 63-76 - Book chapterAbstract only
Homology of Certain H-Spaces as Group Ring Objects
DALE HUSEMOLLER
Pages 77-94 - Book chapterAbstract only
A Whitehead Theorem
D.M. KAN
Pages 95-99 - Book chapterAbstract only
Variable Quantities and Variable Structures in Topoi
F. WILLIAM LAWVERE
Pages 101-131 - Book chapterAbstract only
The Work of Samuel Eilenberg in Topology
SAUNDERS MAC LANE
Pages 133-144 - Book chapterAbstract only
What It Means for a Coalgebra To Be Simply Connected
JOHN C. MOORE
Pages 145-148 - Book chapterAbstract only
Local Complexity of Finite Semigroups
JOHN RHODES and BRET TILSON
Pages 149-168 - Book chapterAbstract only
The Global Dimensions of Ore Extensions and Weyl Algebras
GEORGE S. RINEHART and ALEX ROSENBERG
Pages 169-180 - Book chapterAbstract only
Global Dimension of Ore Extensions
ALEX ROSENBERG and J.T. STAFFORD
Pages 181-188 - Book chapterAbstract only
On the Spectrum of a Ringed Topos
MYLES TIERNEY
Pages 189-210 - Book chapterAbstract only
Forcing Topologies and Classifying Topoi
MYLES TIERNEY
Pages 211-219 - Book chapterNo access
Published Works of Samuel Eilenberg
Pages 221-225
About the book
Description
Algebra, Topology, and Category Theory: A Collection of Papers in Honor of Samuel Eilenberg is a collection of papers dealing with algebra, topology, and category theory in honor of Samuel Eilenberg. Topics covered range from large modules over artin algebras to two-dimensional Poincaré duality groups, along with the homology of certain H-spaces as group ring objects. Variable quantities and variable structures in topoi are also discussed. Comprised of 16 chapters, this book begins by looking at the relationship between the representation theories of finitely generated and large (not finitely generated) modules over an artin algebra. The reader is then introduced to reduced bar constructions on deRham complexes; some properties of two-dimensional Poincaré duality groups; and properties invariant within equivalence types of categories. Subsequent chapters explore the work of Samuel Eilenberg in topology; local complexity of finite semigroups; global dimension of ore extensions; and the spectrum of a ringed topos. This monograph will be a useful resource for students and practitioners of algebra and mathematics.
Algebra, Topology, and Category Theory: A Collection of Papers in Honor of Samuel Eilenberg is a collection of papers dealing with algebra, topology, and category theory in honor of Samuel Eilenberg. Topics covered range from large modules over artin algebras to two-dimensional Poincaré duality groups, along with the homology of certain H-spaces as group ring objects. Variable quantities and variable structures in topoi are also discussed. Comprised of 16 chapters, this book begins by looking at the relationship between the representation theories of finitely generated and large (not finitely generated) modules over an artin algebra. The reader is then introduced to reduced bar constructions on deRham complexes; some properties of two-dimensional Poincaré duality groups; and properties invariant within equivalence types of categories. Subsequent chapters explore the work of Samuel Eilenberg in topology; local complexity of finite semigroups; global dimension of ore extensions; and the spectrum of a ringed topos. This monograph will be a useful resource for students and practitioners of algebra and mathematics.
Details
ISBN
978-0-12-339050-9
Language
English
Published
1976
Copyright
Copyright © 1976 Elsevier Inc. All rights reserved.
Imprint
Academic Press