## Browse content

### Table of contents

#### Actions for selected chapters

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- Book chapterAbstract only
#### 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 ObjectsDALE 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