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Mathematics of Digital Communications: From Finite Fields to Group Rings and Noncommutative Algebra
In this paper, we present some recent instances of applying algebraic tools from different categories, in the design of digital communications systems. More specifically, we present a structure based on the elements of a group ring for constructing and encoding QC-LDPC codes.
Dariush Kiani, Hassan Khodaiemehr
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Noncommutative Local Algebra and Representations of certain rings of mathematical physics
The Weyl algebra is one of the most important objects in mathematical physics and representation theory of Lie groups and Kac-Moody algebras.
Alexander L. Rosenberg
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The study is continued investigation of mathematical and functional/physical interpretation of image analysis and processing operations used as sets of operations (ring elements) in descriptive image algebras (DIA) with one ring. The main result is the determination and characterization of interpretation domains of DIA operations: image algebras that ...
Igor B. Gurevich, V. V. Yashina
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RINGS, MODULES, AND ALGEBRAS IN STABLE HOMOTOPY THEORY (Mathematical Surveys and Monographs 47)
J. P. C. Greenlees
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Труды Математического института имени В. А. Стеклова, 2019
С каждым самодвойственным по Александеру симплициальным комплексом связана компактификация пространства $\mathcal M_{0,n}$, называемая ASD-компактификацией, которая является гладким алгебраическим многообразием. ASD-компактификации включают в себя (помимо других) пространства многоугольников, или конфигурационные пространства шарнирных многоугольников.
Gaiane Yur'evna Panina+2 more
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С каждым самодвойственным по Александеру симплициальным комплексом связана компактификация пространства $\mathcal M_{0,n}$, называемая ASD-компактификацией, которая является гладким алгебраическим многообразием. ASD-компактификации включают в себя (помимо других) пространства многоугольников, или конфигурационные пространства шарнирных многоугольников.
Gaiane Yur'evna Panina+2 more
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1988
This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included.
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This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included.
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