Authors: Mahouton Norbert Hounkonnou, Melanija Mitrović, Mujahid Abbas, Madad Khan
Publisher: Springer
Language: English
Hardcover ISBN978-3-031-39333-4
eBook ISBN978-3-031-39334-1
https://doi.org/10.1007/978-3-031-39334-1
Published: 2023
Number of Pages: XXXVII, 570
Description
This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications—CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojša Stevanović (1962-2009). The papers cover new trends in the field, focusing on the growing development of applications in other disciplines. These aspects interplay in the same cadence, promoting interactions between theory and applications, and between nonassociative algebraic structures and various fields in pure and applied mathematics.
In this volume, the reader will find novel studies on topics such as left almost algebras, logical algebras, groupoids and their generalizations, algebraic geometry and its relations with quiver algebras, enumerative combinatorics, representation theory, fuzzy logic and foundation theory, fuzzy algebraic structures, group amalgams, computer-aided development and transformation of the theory of nonassociative algebraic structures, and applications within natural sciences and engineering.
Researchers and graduate students in algebraic structures and their applications can hugely benefit from this book, which can also interest any researcher exploring multi-disciplinarity and complexity in the scientific realm.
From the Preface
Introduction to nonassociative algebra or playing havoc with the product rule? For modern mathematics, thick intertwining of very many directions and subdisciplines is typical. So the algebraic structures, nonassociative algebras among them, are percolating other branches of mathematics accommodating special demands and purposes, and acquiring new features and properties to serve ‘for the simplification of theoretical constructions, wrote Bernard Russo in 2012.
The history of nonassociative algebraic structures can be traced at least to the middle of the nineteenth century. The theory of nonassociative algebraic structures is an enormously broad and greatly advanced area. Interesting new algebraic ideas arise, with challenging opportunities to discover connections to other areas of mathematics, natural sciences, and engineering. Besides, computer-assisted methods proved useful in the development of the theory of nonassociative algebraic structures, e.g., in finding proofs and constructing examples and applications.
About the editors
Mahouton Norbert Hounkonnou is a Full Professor at the Catholic University of Abomey-Calavi, Benin. He holds a PhD from the University of Louvain, Belgium. His works deal with noncommutative and nonlinear mathematics, including differential equations, operator theory, coherent states, quantization techniques, orthogonal polynomials, special functions, graph theory, nonassociative algebras, nonlinear integrable systems, noncommutative field theories, and geometric methods in physics and complexity.
Melanija Mitrović is a Full Professor at the University of Niš, Serbia, having received her PhD degree at the same university. She has held visiting professor positions at Malardaren University, Sweden; Bar-Ilan University, Israel; TU Wien, Austria; UTAD and University of Minho, Portugal; and Politecnico di Milano, Italy. She develops interdisciplinary research investigating applications of algebraic structures to problems in engineering space. Her lines of research are in basic classical and constructive algebraic structures.
Mujahid Abbas is a Full Professor at the Government College University, Pakistan. He holds a PhD from the National College for Business Administration and Economics, Pakistan. His research is focused on fixed-point theory and its applications, topological vector spaces and nonlinear operators, best approximations, fuzzy logic, and convex optimization theory.
Madad Khan is an Associate Professor at the COMSATS University Islamabad–Abbottabad Campus, Pakistan. He holds a PhD from Quaid-i-Azam University, Islamabad, Pakistan, and did post-doctorate studies at the University of Birmingham, UK, and the University of Chicago, USA. His research interests lie in biomathematics, fuzzy mathematics, computational mathematics, group theory, and generalizations.
