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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Algebraic Structures from Integral Equations
积分方程 代数结构 代数分析
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2023/11/29
Even though the research style of algebra and analysis are quite different, many algebraic structures naturally arose from analysis, differential equations and integral equations, inspiring further ap...
Mutually algebraic structures and `automatic' quantifier elimination
Mutually algebraic structures `automatic' quantifier elimination
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2015/9/28
Mutually algebraic structures and `automatic' quantifier elimination.
Characterizing model completeness among mutually algebraic structures
algebraic structures model completeness
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2015/9/28
We characterize when the elementary diagram of a mutually algebraic
structure has a model complete theory, and give an explicit
description of a set of existential formulas to which every formula
i...
Mutually algebraic structures and expansions by predicates
algebraic structures predicates
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2015/9/28
We introduce the notions of a mutually algebraic structures and
theories and prove many equivalents. A theory T is mutually algebraic
if and only if it is weakly minimal and trivial if and only if n...
ALGEBRAIC STRUCTURES ON THE TOPOLOGY OF MODULI SPACES OF CURVES AND MAPS
MODULI SPACES CURVES AND MAPS
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2015/7/14
We discuss selected topics on the topology of moduli spaces
of curves and maps, emphasizing their relationwith GromovWitten theory and integrable systems
Algebraic Structures using Natural Class of Intervals
Algebraic Structures Natural Class of Intervals General Mathematics
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2011/8/23
Abstract: This book has eleven chapters. Chapter one describes all types of natural class of intervals and the arithmetic operations on them. Chapter two introduces the semigroup of natural class of i...
Contractions of quantum algebraic structures
quantum algebraic structures centrally extended algebras
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2010/4/2
A general framework for obtaining certain types of contracted and centrally extended algebras is presented. The whole process relies on the existence of quadratic algebras, which appear in the context...
Lie Algebraic Structures and Integrability of Long-Short WaveEquation in (2+1) Dimensions
prolongation approach hidden symmetry integrability
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2007/8/15
2004Vol.42No.6pp.821-823DOI:
Lie Algebraic Structures and Integrability of Long-Short WaveEquation in (2+1) Dimensions
ZHAO Xue-Qing and LÜ Jing-Fa
College of Physi...