Surender K. Jain – författare

This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications, held from December 9-11, 2017, at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (Maharashtra), India.Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered.The articles are devoted to Leavitt path algebras, roots of elements in Lie groups, Hilbert's Nullstellensatz, mixed multiplicities of ideals, singular matrices, rings of integers, injective hulls of modules, representations of linear, symmetric groups and Lie algebras, the algebra of generic matrices and almost injective modules.

Articles in this volume are based on talks given at the International Conference on Linear Algebra and its Applications (ICLAA 2023), which took place in Manipal, India. It contains fifteen articles by mathematicians working in linear algebra and related areas. The topics include, among others, recent developments in matrix theory and its applications to linear algebra, linear operators in Banach algebras, game theory, and optimal designs. In addition to research articles, the volume contains expository papers describing new avenues of research and open problems. The volume can also serve as a reference for researchers working in linear algebra and related topics.

The papers of this volume share as a common goal the structure and classi- fication of noncommutative rings and their modules, and deal with topics of current research including: localization, serial rings, perfect endomorphism rings, quantum groups, Morita contexts, generalizations of injectivitiy, and Cartan matrices.