Algebra and Its Applications

Algebra and Its Applications

by D. V. Huynh
     
 

ISBN-10: 082181950X

ISBN-13: 9780821819500

Pub. Date: 08/31/2000

Publisher: American Mathematical Society

Among all areas of mathematics, algebra is one of the best suited to find applications within the frame of our booming technological society. The thirty-eight articles in this volume encompass the proceedings of the International Conference on Algebra and Its Applications (Athens, OH, 1999), which explored the applications and interplay among the disciplines of

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Overview

Among all areas of mathematics, algebra is one of the best suited to find applications within the frame of our booming technological society. The thirty-eight articles in this volume encompass the proceedings of the International Conference on Algebra and Its Applications (Athens, OH, 1999), which explored the applications and interplay among the disciplines of ring theory, linear algebra, and coding theory. The presentations collected here reflect the dialogue between mathematicians involved in theoretical aspects of algebra and mathematicians involved in solving problems where state-of-the-art research tools may be used and applied. This Contemporary Mathematics series volume communicates the potential for collaboration among those interested in exploring the wealth of applications for abstract algebra in fields such as information and coding. The expository papers would serve well as supplemental reading in graduate seminars.

Product Details

ISBN-13:
9780821819500
Publisher:
American Mathematical Society
Publication date:
08/31/2000
Series:
Contemporary Mathematics Series, #259
Pages:
569
Product dimensions:
6.30(w) x 9.06(h) x (d)

Related Subjects

Table of Contents

Preface
Isomorphisms between infinite matrix rings: A survey1
The double infinite chain condition and generalized deviations of posets and modules13
Minors of some matrices associated with a tree45
On quasi-Baer rings67
Functional identities: A survey93
The Grothendieck group and the extensional structure of Noetherian module categories111
Some non-classical finiteness conditions of modules133
Free modules obtained by means of infinite direct products161
Gorenstein injective, projective, and flat dimensions over Cohen-Macaulay rings175
Projective modules over semilocal rings181
Determinantal inequalities: Ancient history and recent advances199
Ring extensions and duality213
Some properties of tensor-idempotent rings223
The graded version of Goldie's theorem237
On Artinian and Noetherian projective lattice geometries241
The phantom menace in representation theory247
Separability and Hopf algebras279
Quadratic residue codes over the integers modulo q[superscript m]299
Characterizations of right perfect rings by [actual symbol not reproducible]-supplemented modules313
The adjacency matrix of a directed graph over the Grassmann algebra319
On Artinian modules over hyperfinite groups323
Principal one-sided ideals in Ore polynomial rings333
Modules over hereditary Noetherian prime rings (Survey)353
Prime elements of birational extensions of a Noetherian UFD371
On the splitting of the dual Goldie torsion theory377
The Soules approach to the inverse eigenvalue problem for nonnegative symmetric matrices of order n[is equal to or less than]5387
Harmonic analysis on finite rings and applications409
A lattice invariant for modules, II431
Modules having [superscript *]-radical439
The "generalized class group" of a left Noetherian ring451
Indecomposable decompositions of [actual symbol not reproducible]-[Sigma]-CS-modules467
The multiplicative group of a division algebra of degree 5 and Wedderburn's factorization theorem475
Modules which are self-injective relative to closed submodules487
On r-fold complete weight enumerators of r linear codes501
Levels of quotient rings of rings of continuous functions515
Commutative domains whose finitely generated projective modules have an injectivity property529
Decompositions of modules and comodules547
Density for polyform modules563

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