主题词：Advanced Topics in Algebra; Holomorphic and Operator Theory; Rings, Modules, and Algebras; Algebraic Geometry and Number Theory; Advanced Banach Space Theory; Nonlinear Differential Equations Analysis; Advanced Mathematical Modeling in Engineering; Analytic Number Theory Research; Differential Equations and Numerical Methods; Differential Equations and Boundary Problems; Algebraic structures and combinatorial models; Mathematical functions and polynomials; Advanced Mathematical Identities; Advanced Operator Algebra Research; Mathematics and Applications; Advanced Topology and Set Theory; Algebraic and Geometric Analysis; Matrix Theory and Algorithms; Advanced Algebra and Geometry; Finite Group Theory Research; Advanced Differential Equations and Dynamical Systems; Spectral Theory in Mathematical Physics; Nonlinear Partial Differential Equations; Polynomial and algebraic computation; advanced mathematical theories