主题词：Advanced Topics in Algebra; Analytic Number Theory Research; Advanced Mathematical Identities; Algebraic structures and combinatorial models; Algebraic Geometry and Number Theory; Finite Group Theory Research; Advanced Combinatorial Mathematics; Rings, Modules, and Algebras; Mathematical functions and polynomials; Graph theory and applications; Advanced Algebra and Geometry; Matrix Theory and Algorithms; Holomorphic and Operator Theory; Advanced Mathematical Modeling in Engineering; Nonlinear Partial Differential Equations; Coding theory and cryptography; graph theory and CDMA systems; Nonlinear Differential Equations Analysis; Fractional Differential Equations Solutions; Advanced Graph Theory Research; Mathematical Analysis and Transform Methods; Advanced Mathematical Theories and Applications; Graph Labeling and Dimension Problems; Mathematical Inequalities and Applications; Advanced Mathematical Physics Problems