主题词：Advanced Topics in Algebra; Fuzzy and Soft Set Theory; Geometric Analysis and Curvature Flows; Rings, Modules, and Algebras; Advanced Algebra and Logic; Fixed Point Theorems Analysis; Holomorphic and Operator Theory; Advanced Differential Geometry Research; Mathematical functions and polynomials; Optimization and Variational Analysis; Geometry and complex manifolds; Algebraic structures and combinatorial models; Matrix Theory and Algorithms; Algebraic and Geometric Analysis; Advanced Banach Space Theory; Mathematical Dynamics and Fractals; Advanced Mathematical Identities; Algebraic Geometry and Number Theory; Mathematics and Applications; Differential Equations and Boundary Problems; Nonlinear Differential Equations Analysis; advanced mathematical theories; Geometric and Algebraic Topology; Homotopy and Cohomology in Algebraic Topology; Functional Equations Stability Results