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| eBook ISBN: | 978-0-8218-8098-2 |
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| Softcover ISBN: | 978-0-8218-3842-6 |
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| Softcover ISBN: | 978-0-8218-3842-6 |
| Product Code: | CONM/419 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-0-8218-8098-2 |
| Product Code: | CONM/419.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-3842-6 |
| eBook ISBN: | 978-0-8218-8098-2 |
| Product Code: | CONM/419.B |
| List Price: | $255.00 $192.50 |
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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, 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.
ReadershipGraduate 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 ]
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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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-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
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
