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The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. Chapters are based on talks given at the 2024 "International Conference on Evolution in Pure and Applied Mathematics" (ICEPAM) held at Akal University Talwandi Sabo. Specific topics covered include module theory, non-associative algebras, geometric solitons, graph theory, and more. Algebra, Analysis, and Associated Topics will appeal to researchers, graduate students, and engineers interested in learning more about the impact pure mathematics has on various fields.
On distance spectra of edge corona of graphs.- Generalized Sasakian space-forms with ??-Kenmotsu structure and Yamabe solitons.- Graphs Derived from Coatoms of Lattices.- Minkowski-4 Mean Cordial Labeling Characteristics in Various Graphs.- A survey on commuting automorphisms of groups.- A study on ???? Absolutes.- Results on Coupled Coincidence Point with ??-Cone Metric Spaces.- Applications of ?? Distance Domination of Semigraph.- Results on an identity of Rogers-Ramanujan type.- The (????, I) Transformation Graph of a Graph.- Extended distance energy for some graphs and common fever drugs.- Radio Geometric Mean Number for Cycle-based Graphs.- Color Connections in ??-Inordinate Invariant Intersection Graphs.- EXPLORATIONS OF DERIVATIONS IN NEUTROSOPHIC FUZZY IMPLICATIVE IDEALS OF BCK-ALGEBRAS.- Construction and Classification of Lattice Valued Picture Fuzzy Topologies.- Fuzzy Pretopology: Equivalent Constructions and Properties.- Direct and Inverse Problems in Sumsets and Various Groups.- Hypersurfaces as geometric solitons.- Recent development in biconservative submanifolds.