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Mathematics of Digital Communications: From Finite Fields to Group Rings and Noncommutative Algebra
Iranian Journal of Science and Technology, Transactions A: Science, 2020In 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.
Hassan Khodaiemehr, Dariush Kiani
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2019
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 Gurevich, Vera Yashina
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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 Gurevich, Vera Yashina
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Noncommutative Local Algebra and Representations of certain rings of mathematical physics
1995The Weyl algebra is one of the most important objects in mathematical physics and representation theory of Lie groups and Kac-Moody algebras.
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Ruthenium-Catalyzed Cycloadditions to Form Five-, Six-, and Seven-Membered Rings
Chemical Reviews, 2021Rosalie S Doerksen +2 more
exaly
RINGS, MODULES, AND ALGEBRAS IN STABLE HOMOTOPY THEORY (Mathematical Surveys and Monographs 47)
Bulletin of the London Mathematical Society, 1999openaire +1 more source
Cleavage of Carbon–Carbon σ-Bonds of Four-Membered Rings
Chemical Reviews, 2021Masahiro Murakami, Naoki Ishida
exaly
Stereoselective construction of β-, γ- and δ-lactam rings via enzymatic C–H amidation
Nature Catalysis, 2023David A Vargas +2 more
exaly

