Algebra and its applications

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This volume features contributions from the International Conference in Algebra and Its Applications held at Aligarh Muslim University, India, from November 12-14, 2016. Expert referees have curated this extensive collection, showcasing the latest advancements in algebra and its applications. Key topics include derivations in rings, category theory, Baer module theory, coding theory, graph theory, semi-group theory, HNP rings, Leavitt path algebras, generalized matrix algebras, the Nakayama conjecture, near ring theory, and lattice theory. The authors are distinguished international scholars and researchers in their fields. The contents cover a variety of specialized subjects, such as the structure of ∗-prime rings with generalized derivations, additive mappings in rings with involution, skew constacyclic codes, and generalized total graphs of commutative rings. Additional topics include differential conditions for commutativity in near-rings, generalized skew derivations on Lie ideals, properties of projective ideals in differential polynomial rings, and actions of generalized derivations in rings and Banach algebras. The volume also addresses the Nakayama conjecture, separability in algebra and category theory, and the properties of CESS-lattices, among others, reflecting the diverse and dynamic nature of contemporary algebra research.