This volume contains selected chapters on algebra and related topics presented at the International Conference on Algebra and its Applications, held at the Department of Mathematics, Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez, Morocco, from 1215 July 2023, held in honour of Prof. Ayman Badawi and Prof. Abdelmoujib Benkirane. It contains a cross-section of topics in algebra and its applications which contribute to the development of pure and applied algebra. Chapters in the book focus on modern trends and techniques in various branches of pure and applied algebra and highlight their applications in several other branches of mathematics like coding theory, cryptography and graph theory. Covering a broad range of topics in pure and applied algebra, the book will be useful to a wide spectrum of researchers and graduate students in mathematics.

Contains selected chapters on a cross-section of topics in pure and applied algebra and their applications Focuses on applications of algebra and several branches of mathematics like coding theory, cryptography and graph theory Includes topics on associative rings and modules, groups and algebras, coding and cryptography, and graph theory

Autorentext

Manoj Kumar Patel is Associate Professor at the Department of Mathematics, National Institute of Technology Nagaland, India. After completing his PhD in algebra from the Indian Institute of Technology (BHU) Varanasi, he joined Gurukula Kangri University Haridwar as Assistant Professor. He was a recipient of the gold medal in M.Sc. and was awarded the NBHM Post-Doctoral Fellowship. With more than 40 research articles published in several journals of international repute, he has guided 3 PhD students in algebra. He was Managing editor of the Palestine Journal of Mathematics, Guest Editor of a special issue of the Palestine Journal of Mathematics and Volume Editor of the Proceeding on Advances in Pure and Applied Algebra. In addition, he has been appointed as Regional Coordinator of the Mathematical Olympiad Program for Nagaland, Centre Head for NBHM Master and Doctoral Scholarship Program for Nagaland and Coordinator of INYAS North-East Local Chapter. He is also a life member of the Indian Mathematical Society, the Indian Science Congress Association, and the Ramanujan Mathematical Society, India.

Mohammad Ashraf is formerly Professor and Chair at the Department of Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India. He is also formerly Dean, the Faculty of Science, at Aligarh Muslim University. With more than 250 peer-reviewed scientific articles published in internationally recognized and reputed journals, he has organized several international conferences and has edited 8 proceedings. Besides supervising more than 18 students for their PhD in various topics in mathematics, such as ring theory, linear algebra, coding theory and graph theory, he has completed many national and international research projects awarded by the University Grants Commission, Department of Science and Technology and National Board of Higher Mathematics. Editor/Managing Editor of many reputed international mathematical journals, he is a life member of the Indian Mathematical Society, the Indian Science Congress Association and the Indian Society of Industrial and Applied Mathematics.

Najib Mahdou is Professor Emeritus at Sidi Mohamed Ben Abdellah University in Fez, Morocco. Since 1992, he has served as Professor at the Department of Mathematics, the Faculty of Science and Technology in the same university. He earned his PhD in mathematics from the same university. His research focuses on commutative algebra and homological algebra. He holds several editorial positions: Editor-in-Chief of the Moroccan Journal of Algebra and Geometry with Applications, Managing Editor of the "Homological Algebra" section of the Palestine Journal of Mathematics, and Editor for both the Gulf Journal of Mathematics and The Korean Journal of Mathematics. He founded and directed the Laboratory "Algebra, Functional Analysis and Applications" at the Faculty of Sciences and Technologies, University S.M. Ben Abdellah, from January 2011 to December 2019, and the Laboratory "Modelling and Mathematical Structures" from January 2020 to December 2021. Author of more than 150 papers published in Scopus-indexed journals, he has supervised 32 PhD students. He is the author of four undergraduate textbooks in French and the editor of three conference proceedings.

Hwankoo Kim is Professor at Hoseo University, Republic of Korea. He began his tenure at Hoseo University in March 2002 and has progressed through various academic ranks to his current full professorship. He holds a PhD in mathematics from the University of Tennessee, Knoxville, completed in 1998, with a dissertation on "Factorization in monoid domains". His academic journey includes significant roles as a visiting scholar and professor at several universities in the USA and Korea. His research interests lie in the fields of multiplicative ideal theory, torsion and cotorsion theory and homological algebra, as well as information security, focusing on cryptography and security protocols. He has been involved in extensive editorial work, including roles as Editor of the Communications of Korean Mathematical Society journal and as a reviewer for various academic publications. He has also received multiple awards for his research contributions, including the Outstanding Professor (Research) Award from Hoseo University. His publication record includes numerous articles and conference proceedings, making significant contributions to his fields of specialization.

Inhalt

Ali Benhissi, Strongly Hopfian rings of formal power series and power series Armendariz rings in infinitely many variables.- A. Dabbabi, Some results on S-VSFT commutative rings.- V. Kakkar, Zappa-Szep product of right admissible groups.- W. Rehman, Binary quantum codes from cyclic codes over Ru,v.- Mohd Nazim, On the genus and cross cap of the extended sum Annihilating-ideal graph of commutative rings.- Pragneshkumar R. Makwana, Investigation of Ideal and Spectrum of Different Products on Matrices.- B. Sonar, On Spectrum of Neighbourhood Corona Product of Signed Graphs.- V. Kumar, A Study of Key Exchange Protocol Using Quasidirect Product of Groups.- Manjil P. Saikia, On K-Facile Perfect Perfect Numbers.- M. Kumari, On the role of generalized Fibonacci matrices as key in modified ECC.- P. Gupta, On the Relation of Pure Projective Modules with Other Modules.- W. Ahmed, On lie ideals with generalized Homoderivations in prime rings.- Ashok Ji Gupta, Salted cubic unbalanced oil and vinegar digital signature.- R. G. Ghumde, A note on regular qclean rings.- B. Chatterjee, One type of finitely generated minimal linear code over the ring Z2n.- P. Singh, Reductions and sally module.- A. S Odyuo, The -labeling on decomposition of complete bipartite graphs.- R. Kumar, A Finite Non-Abelian SR-Group G2n.- K. Prasad, Sedenion algebra of the k-Mersenne and k-Mersenne-Lucas.- A. Uddin Ansari, Graded Uniformly S-Noetherian Modules.- M. R. Mozumder, A note on differential identities in s-prime ring with generalized Derivations.- H. Chakraborty, Iso M-Artinian (Noetherian) Modules and Rings.- S. Rani, On Hamming distance and RT distance of class of constacyclic codes over FpnuFpnut-1Fpn.- N. Mahdou, Uniform coherence in amalgamated algebra Along an ideal.- S. Pirzada, Distance Laplacian Spectrum and energy of commuting conjugacy class Graphs.- M. Ashraf, Nonlinear -Lie higher derivations of unital -Algebras.- C. Bakkari, Rings in which every ideal is S-weakly Prime ideal.- S. Bouchiba, On -V-modules.- David E. Dobbs, Using integral closure to characterize going-down domains, Ii.- R. Tribak, On a generalization of C4-Modules.