Rings, Modules and Codes
Published on 30. May 2019
Book
Paperback/Softback
355 pages
978-1-4704-4104-3 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
505 gr
ISBN-13
978-1-4704-4104-3 (9781470441043)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Andre Leroy, Universite d'Artois, Arras, France.
Christian Lomp, Universidade do Porto, Portugal.
Sergio Lopez-Permouth, Ohio University, Athens, OH.
Frederique Oggier, Nanyang Technological University, Singapore.
Christian Lomp, Universidade do Porto, Portugal.
Sergio Lopez-Permouth, Ohio University, Athens, OH.
Frederique Oggier, Nanyang Technological University, Singapore.
Content
A. Alahmadi, A. Leroy, and S. K. Jain, Rings whose proper images are almost self-injective
J. Alev and F. Dumas, Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of $\mathfrak{osp}(1,2n)$
M. Altun-Ozarslan and A. Facchini, The Krull-Schmidt-Remak-Azumaya Theorem for $G$-groups
S. Assuena and C. Polcino Milies, Good codes from metacyclic groups
V. V. Bavula and T. Lu, The prime ideals and simple weight modules of the algebra $U(\mathfrak{b} \ltimes V_3)$
P. Danchev and J. Matczuk, $n$-torsion clean rings
S. T. Dougherty, A. Kor, and A. Leroy, Generating characters of non-commutative Frobenius rings
S. T. Dougherty and E. Salturk, Constacyclic codes over local rings of order 16
W. Geiselmann and F. Ulmer, Skew Reed-Muller codes
O. W. Gnilke, M. Greferath, T. Honold, J. A. Wood, and J. Zumbragel, The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules
J. Gomez-Torrecillas, F. J. Lobillo, and G. Navarro, Dual skew codes from annihilators: Transpose Hamming ring extensions
C. Hatipoglu, Injective hulls of simple modules over nilpotent Lie color algebras
Y. Ibrahim and M. Yousif, $U$-rings generated by its idempotents
E. Ilic-Georgijevic, On radicals of graded ring constructions
D. A. Jordan, Simple ambiskew polynomial rings II: Non-bijective endomorphisms
Y. Kara and A. Tercan, Generalized extending modules via exchange and clean properties
D. Keskin Tutuncu and R. Tribak, A new approach to dualize retractable modules
M. T. Kosan, T. C. Quynh, and J. Zemlicka, Essentially ADS modules and rings
H. Kose, B. Ungor, Y. Kurtulmaz, and A. Harmanci, A perspective on amalgamated rings via symmetricity
T. Y. Lam and P. P. Nielsen, Jacobson pairs and Bott-Duffin decompositions in rings
A. Leroy and J. Matczuk, Remarks on the Jacobson radical
C. Lomp, A. Sant'Ana, and R. Leite dos Santos, Panov's theorem for weak Hopf algebras
F. Oggier, Duality for (skew-)polynomial codes and a variation of Construction A
D. Pansera, A class of semisimple Hopf algebras acting on quantum polynomial algebras
L. Rowen, An informal overview of triples and systems
T. C. Quynh and S. Sahinkaya, On dual automorphism-invariant and superfluous ADS-modules
F. Siddique, When every endomorphism of a $\Sigma$-injective module is a sum of two commuting automorphisms.
J. Alev and F. Dumas, Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of $\mathfrak{osp}(1,2n)$
M. Altun-Ozarslan and A. Facchini, The Krull-Schmidt-Remak-Azumaya Theorem for $G$-groups
S. Assuena and C. Polcino Milies, Good codes from metacyclic groups
V. V. Bavula and T. Lu, The prime ideals and simple weight modules of the algebra $U(\mathfrak{b} \ltimes V_3)$
P. Danchev and J. Matczuk, $n$-torsion clean rings
S. T. Dougherty, A. Kor, and A. Leroy, Generating characters of non-commutative Frobenius rings
S. T. Dougherty and E. Salturk, Constacyclic codes over local rings of order 16
W. Geiselmann and F. Ulmer, Skew Reed-Muller codes
O. W. Gnilke, M. Greferath, T. Honold, J. A. Wood, and J. Zumbragel, The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules
J. Gomez-Torrecillas, F. J. Lobillo, and G. Navarro, Dual skew codes from annihilators: Transpose Hamming ring extensions
C. Hatipoglu, Injective hulls of simple modules over nilpotent Lie color algebras
Y. Ibrahim and M. Yousif, $U$-rings generated by its idempotents
E. Ilic-Georgijevic, On radicals of graded ring constructions
D. A. Jordan, Simple ambiskew polynomial rings II: Non-bijective endomorphisms
Y. Kara and A. Tercan, Generalized extending modules via exchange and clean properties
D. Keskin Tutuncu and R. Tribak, A new approach to dualize retractable modules
M. T. Kosan, T. C. Quynh, and J. Zemlicka, Essentially ADS modules and rings
H. Kose, B. Ungor, Y. Kurtulmaz, and A. Harmanci, A perspective on amalgamated rings via symmetricity
T. Y. Lam and P. P. Nielsen, Jacobson pairs and Bott-Duffin decompositions in rings
A. Leroy and J. Matczuk, Remarks on the Jacobson radical
C. Lomp, A. Sant'Ana, and R. Leite dos Santos, Panov's theorem for weak Hopf algebras
F. Oggier, Duality for (skew-)polynomial codes and a variation of Construction A
D. Pansera, A class of semisimple Hopf algebras acting on quantum polynomial algebras
L. Rowen, An informal overview of triples and systems
T. C. Quynh and S. Sahinkaya, On dual automorphism-invariant and superfluous ADS-modules
F. Siddique, When every endomorphism of a $\Sigma$-injective module is a sum of two commuting automorphisms.