About the Book
This book contains select chapters of proceedings presented at the Second International Conference on Mathematics and its Applications, held in Antalya, Turkey, from 9 to 13 November 2023. Contributors are all active academicians and researchers in their respective fields. It includes chapters on algebra, ring theory, algebraic coding theory, algebraic graph theory, and differential equations. The book covers recent research in the boundaries of several fields of mathematics, particularly algebra and differential equations with applications. It will be useful not only to experts but also to the beginners of research in algebras, differential equations and related topics.
Table of Contents:
A Study of Randić Spectrum of the Co-maximal Graph.- Chain Conditions on Essential M-cyclic Submodules.- Signless Laplacian Spectra of the Zero-divisor Graph of a Commutative Ring ℤₙ.- Cohen’s Theorem for Commutative Unital Γ-rings.- DSDC Graphs on Finite Dimensional Vector Spaces.- The Fundamental System of Units of Some Real Cyclic Quartic Number Fields.- Norm Inequalities Involving Accretive-dissipative Matrices.- Effects of Endomorphisms on the Commutativity of Banach Algebras.- A Note of Mixed Bi-skew Jordan Triple Derivations on *-algebra.- Some Graph Invariants of Prime Ideal Sum Graph of Commutative Ring.- On Commutativity with Generalized Derivations Acting on Prime Rings and Banach Algebras.- On the Structure of Generalized Semiderivations in Prime Rings.- On Centrally Extended Generalized *- homoderivations Rings with Involution.- On Some Construction of Additive Codes over ℤ₂ℤ₂[u⁴]ℤ₂[uᵏ] and their Applications in Optimal Codes.- Generalized Derivations on Prime Rings with Involution.- Multiplicative Skew Lie-type Derivation on Prime *-Rings.
About the Author :
Mohammad Ashraf is Former Professor who served as Chairperson, Department of Mathematics, Aligarh Muslim University, Aligarh, India. Additionally, he held the position of Former Dean, Faculty of Science, Aligarh Muslim University. More than 250 of his peer-reviewed scientific works have been published in internationally renowned publications. He has more than 6,000 citations with H-index--32, i10-index--179 according to the Google Scholar. He has organized several international conferences and has published 02 books and edited 07 research Proceedings/volumes. After completing Ph.D. from Aligarh Muslim University in 1986, he started his teaching carrier in the Department of Mathematics, Aligarh Muslim University, Aligarh, and became Full Professor in 2005. Besides supervising one and half dozens of students for Ph.D. degrees in various disciplines of mathematics, namely ring theory, near-rings, linear algebra, coding theory, graph theory, and cryptography, he also completed many major research projects awarded by UGC, NBHM, and DST.
Jehad Al Jaraden is Professor at the Department of Mathematics, Faculty of Science, Al Hussein Bin Talal University, Jordan. He received his Ph.D. degree in mathematics (in 1997) from Gomel State University, Belarus. He also served as Visiting Professor at the Department of Mathematics, Michigan Technological University, USA, 2008 to 2009, and Visiting Professor at the Department of Mathematics, Taibah University, KSA, from 2013 to 2016. He is Author and Co-Author of more than 50 articles published in reputed international mathematical journals. He supervised more than 12 M.Sc. theses, and his research interests include finite group and rings theory. He has organized several International conferences and edited four volumes and conference proceedings. He had visited several foreign countries to deliver plenary and invited lectures at international conferences and seminars.
Lahcen Oukhtite is Professor of mathematics and Director of the Modelling and Mathematical Structures Laboratory at the Department of Mathematics, Faculty of Science and Technology, University Sidi Mohamed Ben Abdellah Fez (USMBA), Morocco. He is also Director of the laboratory of modeling and mathematical structures (USMBA). He received his Ph.D. degree in mathematics in the year 2000 from USMBA. He is Author and Co-Author of more than 110 articles published in reputed international mathematical journals. He supervised more than 16 Ph.D. theses, and his research interests include rings theory, commutativity and structure of rings and near-rings, derivations in associative rings, near-rings and Banach algebras, central simple algebras with involution, semi-simple algebras, graph theory. He has organized several international conferences and edited four volumes and conference proceedings. He had visited several foreign countries to deliver plenary and invited lectures at international conferences and seminars.
El Hassan El Kinani is Professor at the Department of Mathematics, Faculty of Sciences Moulay Ismail University-Meknes Morocco. El Hassan got his Ph.D. in theoretical physics from Mohammed V University-Rabat in 1996. He was Associate Member at the Abdus Salam Centre of Theoretical Physics ICTP from 2003 to 2009. His fields of interest include the fractional calculus and its applications, fractional differential equations and their applications, Lie symmetry methods for differential equations, variational problems, quantum algebra, classical and quantum cryptography. He has published more than 90 articles and chapters in indexed journals (Springer, Elsevier). He organized and participated in more than 20 conferences and workshops in various countries. He is Member of editorial boards of several international indexed journals.
