Rings, Modules and Codes

Häftad, Engelska, 2019

AvAndre Leroy,Christian Lomp,Sergio Lopez-Permouth,Frederique Oggier

1 869 kr

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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.

Produktinformation

Utgivningsdatum2019-05-30
Mått178 x 254 x undefined mm
Vikt505 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor355
FörlagAmerican Mathematical Society
ISBN9781470441043

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A. Alahmadi, A. Leroy, and S. K. Jain, Rings whose proper images are almost self-injectiveJ. 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 $G$-groupsS. Assuena and C. Polcino Milies, Good codes from metacyclic groupsV. 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 ringsS. T. Dougherty, A. Kor, and A. Leroy, Generating characters of non-commutative Frobenius ringsS. T. Dougherty and E. Salturk, Constacyclic codes over local rings of order 16W. Geiselmann and F. Ulmer, Skew Reed-Muller codesO. W. Gnilke, M. Greferath, T. Honold, J. A. Wood, and J. Zumbragel, The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodulesJ. Gomez-Torrecillas, F. J. Lobillo, and G. Navarro, Dual skew codes from annihilators: Transpose Hamming ring extensionsC. Hatipoglu, Injective hulls of simple modules over nilpotent Lie color algebrasY. Ibrahim and M. Yousif, $U$-rings generated by its idempotentsE. Ilic-Georgijevic, On radicals of graded ring constructionsD. A. Jordan, Simple ambiskew polynomial rings II: Non-bijective endomorphismsY. Kara and A. Tercan, Generalized extending modules via exchange and clean propertiesD. Keskin Tutuncu and R. Tribak, A new approach to dualize retractable modulesM. T. Kosan, T. C. Quynh, and J. Zemlicka, Essentially ADS modules and ringsH. Kose, B. Ungor, Y. Kurtulmaz, and A. Harmanci, A perspective on amalgamated rings via symmetricityT. Y. Lam and P. P. Nielsen, Jacobson pairs and Bott-Duffin decompositions in ringsA. Leroy and J. Matczuk, Remarks on the Jacobson radicalC. Lomp, A. Sant'Ana, and R. Leite dos Santos, Panov's theorem for weak Hopf algebrasF. Oggier, Duality for (skew-)polynomial codes and a variation of Construction AD. Pansera, A class of semisimple Hopf algebras acting on quantum polynomial algebrasL. Rowen, An informal overview of triples and systemsT. C. Quynh and S. Sahinkaya, On dual automorphism-invariant and superfluous ADS-modulesF. Siddique, When every endomorphism of a $\Sigma$-injective module is a sum of two commuting automorphisms.