9. Left Identity = Right Identity | Left Inverse = Right Inverse | Group Theory скачать в хорошем качестве

9. Left Identity = Right Identity | Left Inverse = Right Inverse | Group Theory

In this lecture of Group Theory (Lecture 09), we prove two fundamental theorems of groups: ✔️ Left identity is also the right identity ✔️ Left inverse is also the right inverse These results are extremely important for: UPSC Mathematics Optional CSIR NET / GATE Mathematics MSc / BSc Mathematics Abstract Algebra exams We assume a set with a binary operation that is associative, has a left identity, and left inverses, and then show how full group properties follow. 📌 This lecture builds a strong conceptual foundation for: Cancellation laws Uniqueness of identity and inverse Structure of algebraic systems 📚 Playlist: Group Theory – Complete Course 📢 Subscribe to mathstronauts for clear and exam-oriented mathematics lectures group theory left identity right identity left inverse right inverse group theory lecture abstract algebra identity element in group inverse element in group algebra group theory msc mathematics bsc mathematics csir net mathematics gate mathematics upsc mathematics optional pure mathematics mathstronauts #GroupTheory #AbstractAlgebra #IdentityElement #InverseElement #CSIRNET #GATEMathematics #UPSCMaths #PureMathematics #Mathstronauts