Contemporary Mathematics- Algebraic Structures and Applications

Gathering research and survey papers from August 2023 conferences at Artois University, this volume delves into classical ring theory, coding theory, and quadratic forms. It covers topics from Baer rings to MacWilliams identities, offering fresh insights into universal algebras and innovative non-associative structures. This volume contains the proceedings of two conferences: NonCommutative Rings and their Applications (NCRA, VIII) and Quadratic Forms, Rings and Codes (QFRC II) that were held in August 2023 at Artois University, Lens, France. The book contains a few survey papers and many research articles. The latter have been written in an accessible style and should be of interest to specialists, researchers, and graduate students. The subjects cover classical ring theory (e.g. Baer rings, separativity problem, group algebras, quasi-duo) coding theory (MacWilliams identities, codes over Galois rings or from Lie algebras). Quadratic forms are also present in two important and nicely written papers. Finally, some papers offer new perspectives moving from classical ring theory to universal algebras and non-associative structures.