Advances in Pure and Applied Algebra: Proceedings of the CONIAPS XXVII International Conference 2021

Description

This proceedings volume documents the contributions presented at the CONIAPS XXVII International Conference on Recent Advances in Pure and Applied Algebra. The entries focus on modern trends and techniques in various branches of pure and applied Algebra and highlight their applications in coding, cryptography, graph, and fuzzy theory. The book comprised a total of eighteen chapters, among which the first fourteen chapters are devoted to Algebra and related topics, and the last four chapters are included applied mathematics parts. The chapters present the latest research work being done on the frontiers of the various branches of algebra as well as showcase the cross-fertilization of the ideas and connection among these branches.Covering a broad range of topics in pure and applied Algebra, this volume would appeal to a wide spectrum of the researcher in Mathematics. The main aim of this monograph is to contribute to the development of pure and applied Algebra and hence we purposely sought a cross-section of topics in Algebra and encouraged expository presentations and research papers that provide an innovative link between research areas of Algebra and the field of their applications. This volume will be useful not only to experts but also to beginners of research in algebras and related topics. Introduction Contents Part I: Algebra and its applications Inequalities concerning transitive and equivalence relations Congruences modulo 13, 17 and 19 for general partition function Dimension subgroup conjecture for groups of class 3 A novel secret sharing scheme based on Shamir’s secret sharing scheme over field extensions On fuzzy small and pseudo projectives – a conditioned class of fuzzy projective modules A study of graph labeling on a class of graphs Centrally extended ∗-reverse derivation in semiprime rings On modules whose closed M-cyclic submodules are summands Fibonacci range labeling for shell–flower related graphs Chain conditions on M-cyclic submodules Essential Artinian modules and rings Pseudo-FI-semi injective modules e-Noetherian modules and rings Subgroups and normal subgroups of dihedral group up to isomorphism Part II: Appendix Generalized Hermite–Hadamard-type inequalities for s-convex differentiable functions via Caputo–Fabrizio fractional operator Investigating the existence of solution for nonlinear Hadamard fractional functional integral equations via measure of noncompactness and its application On generalized quantum Bernstein polynomials