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Product Code:  CONM/419 
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Electronic ISBN:  9780821880982 
Product Code:  CONM/419.E 
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Book DetailsContemporary MathematicsVolume: 419; 2006; 319 ppMSC: 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, errorcorrecting codes over finite rings, and projectivegeometry 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.ReadershipGraduate students and research mathematicians interested in ring and module theory; applications to errorcorrecting codes.

Table of Contents

Articles

Adel N. Alahmadi, Husain S. AlHazmi and Pedro A. Guil Asensio  On countably $\Sigma $CS modules [ MR 2279104 ]

E. Babson, B. HuisgenZimmermann 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  Repeatedroot 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 KrullSchmidt property [ MR 2279113 ]

K. R. Goodearl  A DixmierMoeglin equivalence for Poisson algebras with torus actions [ MR 2279114 ]

Pedro A. Guil Asensio and Ivo Herzog  Pureinjectivity 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 MValgebras 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 threedimensional 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 pseudoweight of minimal pseudocodewords 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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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, errorcorrecting codes over finite rings, and projectivegeometry 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.
Graduate students and research mathematicians interested in ring and module theory; applications to errorcorrecting codes.

Articles

Adel N. Alahmadi, Husain S. AlHazmi and Pedro A. Guil Asensio  On countably $\Sigma $CS modules [ MR 2279104 ]

E. Babson, B. HuisgenZimmermann 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  Repeatedroot 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 KrullSchmidt property [ MR 2279113 ]

K. R. Goodearl  A DixmierMoeglin equivalence for Poisson algebras with torus actions [ MR 2279114 ]

Pedro A. Guil Asensio and Ivo Herzog  Pureinjectivity 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 MValgebras 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 threedimensional 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 pseudoweight of minimal pseudocodewords 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