CONTRIBUTIONS IN ALGEBRA AND ALGEBRAIC GEOMETRY

•Leavitt path algebras over a poset of fields
•Roots of elements in Lie groups and the exponential maps
•A note on Nullstellensatz over finite fields
•Minkowski inequality and equality for multiplicity of ideals of finite length in Noetherian local rings
•Decomposition of singular elements of an algebra into product of idempotents, a survey
•Some results on integrally closed domains
•On examples of Baer and Rickart module hulls
•Tableau correspondences and representation theory
•A relationship between Gelfand-Tsetlin bases and Chari-Loktev bases for irreducible finite dimensional representations of special linear Lie algebras
•Algebra of generic matrices is not coherent
•Partial endomorphisms of almost self injective modules

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.

Authors
• Shrikrishna G. Dani: University of Mumbai, Kalina, Mumbai, India,
• Surender K. Jain: Ohio University, Athens, OH,
• Jugal K. Verma: Indian Institute of Technology, Bombay, Powai, Mumbai, India,
• Meenakshi P. Wasadikar: Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India