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Rings, Modules and Codes
| Softcover ISBN: | 978-1-4704-4104-3 |
| Product Code: | CONM/727 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-5237-7 |
| Product Code: | CONM/727.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-4104-3 |
| eBook: ISBN: | 978-1-4704-5237-7 |
| Product Code: | CONM/727.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
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Rings, Modules and Codes
| Softcover ISBN: | 978-1-4704-4104-3 |
| Product Code: | CONM/727 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-5237-7 |
| Product Code: | CONM/727.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-4104-3 |
| eBook ISBN: | 978-1-4704-5237-7 |
| Product Code: | CONM/727.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
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Book DetailsContemporary MathematicsVolume: 727; 2019; 355 ppMSC: Primary 16; 11; 13; 08
This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France.
The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed–Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.
ReadershipGraduate students and research mathematicians interested in ring theory and coding theory.
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Table of Contents
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Articles
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Adel Alahmadi, André Leroy and Surender K. Jain — Rings whose proper images are almost self-injective
-
Jacques Alev and François Dumas — Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of \large$\mathfrak {osp}(1,2n)$
-
Meltem Altun-Özarslan and Alberto Facchini — The Krull-Schmidt-Remak-Azumaya Theorem for $G$-groups
-
Samir Assuena and César Polcino Milies — Good codes from metacyclic groups
-
V. V. Bavula and T. Lu — The prime ideals and simple weight modules of the algebra $U(\mathfrak {b} \ltimes V_3)$
-
Peter Danchev and Jerzy Matczuk — $n$-torsion clean rings
-
Steven T. Dougherty, Arda Kör and André Leroy — Generating characters of non-commutative Frobenius rings
-
Steven T. Dougherty and Esengül Saltürk — Constacyclic codes over local rings of order $16$
-
Willi Geiselmann and Felix Ulmer — Skew Reed-Muller codes
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Oliver W. Gnilke, Marcus Greferath, Thomas Honold, Jay A. Wood and Jens Zumbrägel — The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules
-
José Gómez-Torrecillas, F. J. Lobillo and Gabriel Navarro — Dual skew codes from annihilators: Transpose Hamming ring extensions
-
Can Hati̇poğlu — Injective hulls of simple modules over nilpotent Lie color algebras
-
Yasser Ibrahim and Mohamed Yousif — $U$-rings generated by its idempotents
-
Emil Ilić-Georgijević — On radicals of graded ring constructions
-
David A. Jordan — Simple ambiskew polynomial rings II: Non-bijective endomorphisms
-
Yeliz Kara and Adnan Tercan — Generalized extending modules via exchange and clean properties
-
Derya Keski̇n Tütüncü and Rachid Tribak — A new approach to dualize retractable modules
-
M. Tamer Koşan, Truong Cong Quynh and Jan Žemlička — Essentially ADS modules and rings
-
Handan Kose, Burcu Ungor, Yosum Kurtulmaz and Abdullah Harmanci — A perspective on amalgamated rings via symmetricity
-
T. Y. Lam and Pace P. Nielsen — Jacobson pairs and Bott-Duffin decompositions in rings
-
André Leroy and Jerzy Matczuk — Remarks on the Jacobson radical
-
Christian Lomp, Alveri Sant’Ana and Ricardo Leite dos Santos — Panov’s theorem for weak Hopf algebras
-
Frédérique Oggier — Duality for (skew-)polynomial codes and a variation of Construction A
-
Deividi Pansera — A class of semisimple Hopf algebras acting on quantum polynomial algebras
-
Louis Rowen — An informal overview of triples and systems
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Truong Cong Quynh and Serap Şahinkaya — On dual automorphism-invariant and superfluous ADS-modules
-
Feroz Siddique — When every endomorphism of a $\Sigma $-injective module is a sum of two commuting automorphisms
-
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Additional Material
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 727; 2019; 355 pp
MSC: Primary 16; 11; 13; 08
This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France.
The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed–Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.
Readership
Graduate students and research mathematicians interested in ring theory and coding theory.
-
Articles
-
Adel Alahmadi, André Leroy and Surender K. Jain — Rings whose proper images are almost self-injective
-
Jacques Alev and François Dumas — Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of \large$\mathfrak {osp}(1,2n)$
-
Meltem Altun-Özarslan and Alberto Facchini — The Krull-Schmidt-Remak-Azumaya Theorem for $G$-groups
-
Samir Assuena and César Polcino Milies — Good codes from metacyclic groups
-
V. V. Bavula and T. Lu — The prime ideals and simple weight modules of the algebra $U(\mathfrak {b} \ltimes V_3)$
-
Peter Danchev and Jerzy Matczuk — $n$-torsion clean rings
-
Steven T. Dougherty, Arda Kör and André Leroy — Generating characters of non-commutative Frobenius rings
-
Steven T. Dougherty and Esengül Saltürk — Constacyclic codes over local rings of order $16$
-
Willi Geiselmann and Felix Ulmer — Skew Reed-Muller codes
-
Oliver W. Gnilke, Marcus Greferath, Thomas Honold, Jay A. Wood and Jens Zumbrägel — The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules
-
José Gómez-Torrecillas, F. J. Lobillo and Gabriel Navarro — Dual skew codes from annihilators: Transpose Hamming ring extensions
-
Can Hati̇poğlu — Injective hulls of simple modules over nilpotent Lie color algebras
-
Yasser Ibrahim and Mohamed Yousif — $U$-rings generated by its idempotents
-
Emil Ilić-Georgijević — On radicals of graded ring constructions
-
David A. Jordan — Simple ambiskew polynomial rings II: Non-bijective endomorphisms
-
Yeliz Kara and Adnan Tercan — Generalized extending modules via exchange and clean properties
-
Derya Keski̇n Tütüncü and Rachid Tribak — A new approach to dualize retractable modules
-
M. Tamer Koşan, Truong Cong Quynh and Jan Žemlička — Essentially ADS modules and rings
-
Handan Kose, Burcu Ungor, Yosum Kurtulmaz and Abdullah Harmanci — A perspective on amalgamated rings via symmetricity
-
T. Y. Lam and Pace P. Nielsen — Jacobson pairs and Bott-Duffin decompositions in rings
-
André Leroy and Jerzy Matczuk — Remarks on the Jacobson radical
-
Christian Lomp, Alveri Sant’Ana and Ricardo Leite dos Santos — Panov’s theorem for weak Hopf algebras
-
Frédérique Oggier — Duality for (skew-)polynomial codes and a variation of Construction A
-
Deividi Pansera — A class of semisimple Hopf algebras acting on quantum polynomial algebras
-
Louis Rowen — An informal overview of triples and systems
-
Truong Cong Quynh and Serap Şahinkaya — On dual automorphism-invariant and superfluous ADS-modules
-
Feroz Siddique — When every endomorphism of a $\Sigma $-injective module is a sum of two commuting automorphisms
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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