Results 101 to 110 of about 1,025 (137)

Extensions of (weakly) null-additive, monotone set functions from rings to generated algebras(Information and mathematics of non-additivity and non-extensivity : from the viewpoint of functional analysis)

Extensions of (weakly) null-additive, monotone set functions from rings to generated algebras(Information and mathematics of non-additivity and non-extensivity : from the viewpoint of functional analysis)
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On an Equivalence of Divisors on M ¯ 0 , n from Gromov-Witten Theory and Conformal Blocks. [PDF]

Transform Groups
Chen L, Gibney A, Heller L, Kalashnikov E, Larson H, Xu W.   +5 more
europepmc   +1 more source

Mathematics of Digital Communications: From Finite Fields to Group Rings and Noncommutative Algebra

Iranian Journal of Science and Technology, Transactions A: Science, 2020
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.
Hassan Khodaiemehr, Dariush Kiani
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Applications of Normal Forms for Weighted Leavitt Path Algebras: Simple Rings and Domains [PDF]

Algebras and Representation Theory, 2017
Weighted Leavitt path algebras (wLpas) are a generalisation of Leavitt path algebras (with graphs of weight 1) and cover the algebras LK(n, n + k) constructed by Leavitt.
Roozbeh Hazrat, Raimund Preusser, Hazrat Roozbeh   +2 more
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Irrelation of Mathematical and Functional Aspects of Descriptive Image Algebras with One Ring Operations Interpretability

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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Noncommutative Local Algebra and Representations of certain rings of mathematical physics

1995
The 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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Relationship between Boolean algebras, partially ordered sets and rings in the course of «Вiscrete mathematics»: METHODOLOGY OF TEACHING MATHEMATICS IN INSTITUTIONS OF GENERAL SECONDARY AND HIGHER EDUCATION

2021
У статтi розглядається частково впорядкованi множини та їх зв’язок з булевими алгебрами та кiльцями. Представлено ряд тверджень, якi доцiльно вивчати при знайомствi з алгебраїчними структурами студентам фiзико-математичного факультету спецiальностi 014 Середня освiта (Iнформатика) в курсi дискретної математики.
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基于抽象代数群环域模的太极统一场完整数理建构与实证研究 Title: Complete Mathematical Construction and Empirical Research of Taiji Unified Field Based on Group, Ring, Field and Module of Abstract Algebra

中文:现代物理学存在标准模型与广义相对论无法自洽兼容、四种基本作用力难以统一、量子场发散、宇宙学常数疑难等关键难题。本文以无极本源、阴阳对偶演化、阴阳双重作用三条太极基础公设作为第一原理,借助抽象代数的群、环、域、模体系搭建阴阳物理系统的数学同构模型,构造二元复标量场,结合无极场完备约束与对称条件,推导出核心耦合常数 K=-1。依托该常数完成氢原子精细结构、兰姆位移、水星近日点进动经典物理结果复核,依据能标层级实现四大基本作用力统一,同时分门类提出14项可通过实验观测检验的物理预言,构建起由基础公理到数理方程、历史现象验证再到前瞻性实验预判的完整理论体系,为基础物理大统一方向提供新的研究思路。   English: Modern physics is faced with core ...
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