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

Published by De Gruyter 2023

Advances in Pure and Applied Algebra

Proceedings of the CONIAPS XXVII International Conference 2021

Edited by: Ratnesh Kumar Mishra , Manoj Kumar Patel and Shiv Datt Kumar

In the series De Gruyter Proceedings in Mathematics

https://doi.org/10.1515/9783110785807

Overview
Contents

About this book

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.

A selection of up-to-date contributions in pure and applied algebra and applicable applications in coding theory, cryptography, graph theory, and fuzzy theory.
Of interest to mathematicians working in pure and applied algebra and related areas

Author / Editor information

Manoj Kumar Patel, NIT, Nagaland, India; Ratnesh Kumar Mishra, NIT, Jamshedpur, India; Shiv Datt Kumar, NIT, Allahabad, India.

Topics

Frontmatter Publicly Available Download PDF	I
Introduction Publicly Available Download PDF	V
Contents Publicly Available Download PDF	IX
Part I: Algebra and its applications
Inequalities concerning transitive and equivalence relations Firdous Ahmad Mala, Suhail Gulzar and Ravinder K. Poonia Requires Authentication Unlicensed Licensed Download PDF	1
Congruences modulo 13, 17 and 19 for general partition function Riyajur Rahman and Nipen Saikia Requires Authentication Unlicensed Licensed Download PDF	13
Dimension subgroup conjecture for groups of class 3 Shalini Gupta and Jasbir Kaur Requires Authentication Unlicensed Licensed Download PDF	21
A novel secret sharing scheme based on Shamir’s secret sharing scheme over field extensions Vanashree Gupta Requires Authentication Unlicensed Licensed Download PDF	31
On fuzzy small and pseudo projectives – a conditioned class of fuzzy projective modules Amarjit Kaur Sahni, Jayanti Tripathi Pandey and Ratnesh Kumar Mishra Requires Authentication Unlicensed Licensed Download PDF	39
A study of graph labeling on a class of graphs Pratibha and Priya Yadav Requires Authentication Unlicensed Licensed Download PDF	53
Centrally extended ∗-reverse derivation in semiprime rings Deepak Kumar and Bharat Bhushan Requires Authentication Unlicensed Licensed Download PDF	59
On modules whose closed M-cyclic submodules are summands A. J. Gupta and Sanjeev Kumar Maurya Requires Authentication Unlicensed Licensed Download PDF	65
Fibonacci range labeling for shell–flower related graphs Aronthung S Odyuo, P. Mercy and Manoj Kumar Patel Requires Authentication Unlicensed Licensed Download PDF	71
Chain conditions on M-cyclic submodules Theophilus Gera, Sai Charan Gannamaneni and Manoj Kumar Patel Requires Authentication Unlicensed Licensed Download PDF	81
Essential Artinian modules and rings Himangshu Chakraborty, Palash Nath and Ranjit Kumar Singh Requires Authentication Unlicensed Licensed Download PDF	89
Pseudo-FI-semi injective modules Sedevikho Chase Requires Authentication Unlicensed Licensed Download PDF	95
e-Noetherian modules and rings Palash Nath, Himangshu Chakraborty and Gaurab Bardhan Requires Authentication Unlicensed Licensed Download PDF	101
Subgroups and normal subgroups of dihedral group up to isomorphism Gaurab Bardhan, Palash Nath and Himangshu Chakraborty Requires Authentication Unlicensed Licensed Download PDF	109
Part II: Appendix
Generalized Hermite–Hadamard-type inequalities for s-convex differentiable functions via Caputo–Fabrizio fractional operator Bhavin M. Rachhadiya and Twinkle R. Singh Requires Authentication Unlicensed Licensed Download PDF	115
Investigating the existence of solution for nonlinear Hadamard fractional functional integral equations via measure of noncompactness and its application Vijai Kumar Pathak and Lakshmi Narayan Mishra Requires Authentication Unlicensed Licensed Download PDF	129
On generalized quantum Bernstein polynomials Vishnu Narayan Mishra, Ruchi Singh Rajawat and Vinita Sharma Requires Authentication Unlicensed Licensed Download PDF	149

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Institutional libraries, researchers and graduate students in the fields of pure and applied algebra.
Pages
- Front matter: 10
- Main content: 160
Illustrations
- Illustrations: 14
Keywords: Pure and applied algebra; coding theory; graph theory; fuzzy theory; cryptography.

eBook

Published: April 3, 2023
ISBN: 9783110785807

Hardcover

Published: April 3, 2023
ISBN: 9783110785722