Advances in Pure and Applied Algebra : : Proceedings of the CONIAPS XXVII International Conference 2021 / / ed. by Manoj Kumar Patel, Ratnesh Kumar Mishra, Shiv Datt Kumar.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
• MitwirkendeR: Ahmad Mala, Firdous,; Bardhan, Gaurab,; Bhushan, Bharat,; Chakraborty, Himangshu,; Charan Gannamaneni, Sai,; Chase, Sedevikho,; Gera, Theophilus,; Gulzar, Suhail,; Gupta, A. J.,; Gupta, Shalini,; Gupta, Vanashree,; Kaur Sahni, Amarjit,; Kaur, Jasbir,; Kumar Maurya, Sanjeev,; Kumar Mishra, Ratnesh,; Kumar Patel, Manoj,; Kumar Pathak, Vijai,; Kumar Singh, Ranjit,; Kumar, Deepak,; Mercy, P.,; Narayan Mishra, Lakshmi,; Narayan Mishra, Vishnu,; Nath, Palash,; Odyuo, Aronthung S,; Poonia, Ravinder K.,; Pratibha,,; Rachhadiya, Bhavin M.,; Rahman, Riyajur,; Saikia, Nipen,; Sharma, Vinita,; Singh Rajawat, Ruchi,; Singh, Twinkle R.,; Tripathi Pandey, Jayanti,; Yadav, Priya,
• HerausgeberIn: Datt Kumar, Shiv,; Mishra, Ratnesh Kumar,; Patel, Manoj Kumar,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Series: De Gruyter Proceedings in Mathematics ,
• Physical Description: 1 online resource (X, 160 p.)

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.

Table of Contents

Frontmatter -- 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