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Algebra and Its Applications
 
Edited by: Dinh V. Huynh Ohio University, Athens, OH
S. K. Jain Ohio University, Athens, OH
S. R. López-Permouth Ohio University, Athens, OH
Front Cover for Algebra and Its Applications
Available Formats:
Softcover ISBN: 978-0-8218-3842-6
Product Code: CONM/419
List Price: $103.00
MAA Member Price: $92.70
AMS Member Price: $82.40
Electronic ISBN: 978-0-8218-8098-2
Product Code: CONM/419.E
List Price: $97.00
MAA Member Price: $87.30
AMS Member Price: $77.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $154.50
MAA Member Price: $139.05
AMS Member Price: $123.60
Front Cover for Algebra and Its Applications
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  • Front Cover for Algebra and Its Applications
  • Back Cover for Algebra and Its Applications
Algebra and Its Applications
Edited by: Dinh V. Huynh Ohio University, Athens, OH
S. K. Jain Ohio University, Athens, OH
S. R. López-Permouth Ohio University, Athens, OH
Available Formats:
Softcover ISBN:  978-0-8218-3842-6
Product Code:  CONM/419
List Price: $103.00
MAA Member Price: $92.70
AMS Member Price: $82.40
Electronic ISBN:  978-0-8218-8098-2
Product Code:  CONM/419.E
List Price: $97.00
MAA Member Price: $87.30
AMS Member Price: $77.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $154.50
MAA Member Price: $139.05
AMS Member Price: $123.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4192006; 319 pp
    MSC: Primary 15; 16; 94;

    This volume consists of contributions by speakers at a Conference on Algebra and Its Applications that took place in Athens, Ohio, in March of 2005. It provides a snapshot of the diversity of themes and applications that interest algebraists today. The papers in this volume include some of the latest results in the theory of modules, noncommutative rings, representation theory, matrix theory, linear algebra over noncommutative rings, cryptography, error-correcting codes over finite rings, and projective-geometry codes, as well as expository articles that will provide algebraists and other mathematicians, including graduate students, with an accessible introduction to areas outside their own expertise.

    The book will serve both the specialist looking for the latest result and the novice seeking an accessible reference for some of the ideas and results presented here.

    Readership

    Graduate students and research mathematicians interested in ring and module theory; applications to error-correcting codes.

  • Table of Contents
     
     
    • Articles
    • Adel N. Alahmadi, Husain S. Al-Hazmi and Pedro A. Guil Asensio - On countably $\Sigma $-CS modules [ MR 2279104 ]
    • E. Babson, B. Huisgen-Zimmermann and R. Thomas - Moduli spaces of graded representations of finite dimensional algebras [ MR 2279105 ]
    • Gary F. Birkenmeier, Jae Keol Park and S. Tariq Rizvi - An essential extension with nonisomorphic ring structures [ MR 2279106 ]
    • Victor Camillo and Sharon Lima - Supplemented principal ideals [ MR 2279107 ]
    • Victor Camillo and Juan Jacobo Simón - Some properties of rings reflected in infinite matrix rings [ MR 2279108 ]
    • Radoslav M. Dimitrić - Slender monoids [ MR 2279109 ]
    • Jintai Ding and Dieter Schmidt - Multivariable public key cryptosystems [ MR 2279110 ]
    • Hai Q. Dinh - Repeated-root constacyclic codes of length $2^s$ over $\Bbb Z_{2^a}$ [ MR 2279111 ]
    • Nguyen Viet Dung - Contravariant finiteness and pure semisimple rings [ MR 2279112 ]
    • Alberto Facchini - A characterization of additive categories with the Krull-Schmidt property [ MR 2279113 ]
    • K. R. Goodearl - A Dixmier-Moeglin equivalence for Poisson algebras with torus actions [ MR 2279114 ]
    • Pedro A. Guil Asensio and Ivo Herzog - Pure-injectivity in the category of flat modules [ MR 2279115 ]
    • Charles R. Johnson, António Leal Duarte, Carlos M. Saiago and David Sher - Eigenvalues, multiplicities and graphs [ MR 2279116 ]
    • Charles R. Johnson and Ronald L. Smith - Closure of matrix classes under Schur complementation, including singularities [ MR 2279117 ]
    • T. Y. Lam and R. G. Swan - Sums of alternating matrices and invertible matrices [ MR 2279118 ]
    • Saad H. Mohamed - Internal exchange rings [ MR 2279119 ]
    • Daniele Mundici - Representation of $\sigma $-complete MV-algebras and their associated Dedekind $\sigma $-complete $l$-groups [ MR 2279120 ]
    • Barbara L. Osofsky - Noncommutative linear algebra [ MR 2279121 ]
    • Carolyn Otto and Michael Penkava - The moduli space of three-dimensional Lie algebras [ MR 2279122 ]
    • Edmund R. Puczyłowski - Questions related to Koethe’s nil ideal problem [ MR 2279123 ]
    • Roxana Smarandache and Marcel Wauer - Bounds on the pseudo-weight of minimal pseudo-codewords of projective geometry codes [ MR 2279124 ]
    • George Szeto and Lianyong Xue - On Galois extensions with automorphism group as Galois group [ MR 2279125 ]
    • Maribel Tocón - A $^*$-Litoff theorem for associative pairs [ MR 2279206 ]
    • Edited by Dinh V. Huynh and S. K. Jain - Open Problems
  • Additional Material
     
     
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Volume: 4192006; 319 pp
MSC: Primary 15; 16; 94;

This volume consists of contributions by speakers at a Conference on Algebra and Its Applications that took place in Athens, Ohio, in March of 2005. It provides a snapshot of the diversity of themes and applications that interest algebraists today. The papers in this volume include some of the latest results in the theory of modules, noncommutative rings, representation theory, matrix theory, linear algebra over noncommutative rings, cryptography, error-correcting codes over finite rings, and projective-geometry codes, as well as expository articles that will provide algebraists and other mathematicians, including graduate students, with an accessible introduction to areas outside their own expertise.

The book will serve both the specialist looking for the latest result and the novice seeking an accessible reference for some of the ideas and results presented here.

Readership

Graduate students and research mathematicians interested in ring and module theory; applications to error-correcting codes.

  • Articles
  • Adel N. Alahmadi, Husain S. Al-Hazmi and Pedro A. Guil Asensio - On countably $\Sigma $-CS modules [ MR 2279104 ]
  • E. Babson, B. Huisgen-Zimmermann and R. Thomas - Moduli spaces of graded representations of finite dimensional algebras [ MR 2279105 ]
  • Gary F. Birkenmeier, Jae Keol Park and S. Tariq Rizvi - An essential extension with nonisomorphic ring structures [ MR 2279106 ]
  • Victor Camillo and Sharon Lima - Supplemented principal ideals [ MR 2279107 ]
  • Victor Camillo and Juan Jacobo Simón - Some properties of rings reflected in infinite matrix rings [ MR 2279108 ]
  • Radoslav M. Dimitrić - Slender monoids [ MR 2279109 ]
  • Jintai Ding and Dieter Schmidt - Multivariable public key cryptosystems [ MR 2279110 ]
  • Hai Q. Dinh - Repeated-root constacyclic codes of length $2^s$ over $\Bbb Z_{2^a}$ [ MR 2279111 ]
  • Nguyen Viet Dung - Contravariant finiteness and pure semisimple rings [ MR 2279112 ]
  • Alberto Facchini - A characterization of additive categories with the Krull-Schmidt property [ MR 2279113 ]
  • K. R. Goodearl - A Dixmier-Moeglin equivalence for Poisson algebras with torus actions [ MR 2279114 ]
  • Pedro A. Guil Asensio and Ivo Herzog - Pure-injectivity in the category of flat modules [ MR 2279115 ]
  • Charles R. Johnson, António Leal Duarte, Carlos M. Saiago and David Sher - Eigenvalues, multiplicities and graphs [ MR 2279116 ]
  • Charles R. Johnson and Ronald L. Smith - Closure of matrix classes under Schur complementation, including singularities [ MR 2279117 ]
  • T. Y. Lam and R. G. Swan - Sums of alternating matrices and invertible matrices [ MR 2279118 ]
  • Saad H. Mohamed - Internal exchange rings [ MR 2279119 ]
  • Daniele Mundici - Representation of $\sigma $-complete MV-algebras and their associated Dedekind $\sigma $-complete $l$-groups [ MR 2279120 ]
  • Barbara L. Osofsky - Noncommutative linear algebra [ MR 2279121 ]
  • Carolyn Otto and Michael Penkava - The moduli space of three-dimensional Lie algebras [ MR 2279122 ]
  • Edmund R. Puczyłowski - Questions related to Koethe’s nil ideal problem [ MR 2279123 ]
  • Roxana Smarandache and Marcel Wauer - Bounds on the pseudo-weight of minimal pseudo-codewords of projective geometry codes [ MR 2279124 ]
  • George Szeto and Lianyong Xue - On Galois extensions with automorphism group as Galois group [ MR 2279125 ]
  • Maribel Tocón - A $^*$-Litoff theorem for associative pairs [ MR 2279206 ]
  • Edited by Dinh V. Huynh and S. K. Jain - Open Problems
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