Equivalence Classes in Group Theory | Part 1 – Basics & Examples скачать в хорошем качестве

Equivalence Classes in Group Theory | Part 1 – Basics & Examples

✨ Welcome to the world of Group Theory! ✨ I’m Dr. Upasana Taneja, and on this channel, I share in-depth explanations of higher mathematics topics like Modern Algebra, Real Analysis, Complex Analysis, ODE, PDE, Linear Algebra, and more. In this series on Group Theory, we will explore the fundamental building blocks of abstract algebra — from basic definitions to advanced theorems — in a clear and structured way. Whether you are a beginner or preparing for advanced studies, these lectures will help you build strong mathematical intuition. 🙏 If you find these lessons helpful, please subscribe, like, and share with your friends — your support motivates me to create more quality content for learners like you. Let’s grow together in the beauty of mathematics! --- 🔹 Stay Connected: 📌 Subscribe here:    / @mathsmasterydrupasana   📌 Share with your study groups & friends 📌 Comment your doubts/questions — I’ll try to address them I have tried my best to clear concept for you. If you have any doubt you can ask me in comment section. email id - upasanataneja17@gmail.com #GroupTheory #AbstractAlgebra #ModernAlgebra #Mathematics #HigherMathematics #Algebra #PureMathematics #MathLectures #MathStudents #MathForUG #MathForPG #MathEducation #MathematicsLearning #MathTutorial #LearnMath #DrUpasanaTaneja In this video you Will learn about equivalence classes in detail with explanation of examples. If you like then please like share and subscribe my channel. Many Thanks for watching. #equivalenceclasses open set    • Open Set Explained | Real Analysis Basics ...   supremum and infimum    • “Supremum & Infimum: The Key to the Comple...   upper bound and lower bound    • Examples of Upper & Lower Bounds You Must ...   Group definition    • DEFINITION OF A GROUP IN HINDI | GROUP THE...   Cyclic group    • CYCLIC GROUPS: THE HEART OF GROUP THEORY |...   Subgroups    • SUBGROUPS IN GROUP THEORY EXPLAINED IN HIN...   One step subgroup test    • one step subgroup test| |Msc, DU, ISI, BHU...   Two step subgroup test    • TWO STEPS SUBGROUP TEST EXPLAINED IN HINDI...   Order of a group and order of an element    • STOP MEMORIZING! UNDERSTAND THE LOGIC OF G...   Permutation Group    • Sₙ Group | Definition, Properties & Exampl...   Function domain and Range    • Function domain and  range|| Important con...   concept of 1-1 onto and bijective mapping    • one one onto function   Difference between Range and codomain    • Difference between Range and codomain in h...   Relation function domain codomain range and image    • Relation: Image, Range, Domain and codomain   HOMOMORPHISM    • Abstract Algebra: Homomorphism 🔹 Concept +...   Isomorphism    • Isomorphism in Mathematics | Easy Explanat...   normal subgroups    • Identify Normal Subgroups Fast! #Maths #no...   first theorem of homomorphism    • First theorem of homomorphism   cosets    • Cosets in Finite Groups | Easy Explanation...   Quotient groups    • Quotient Groups | Normal Subgroups & Examp...   sylow p subgroup    • Sylow p-Subgroups 🔥 Explained with Example...   sylow theorems    • Abstract Algebra: Sylow’s First, Second & ...   group of order 56 is not simple    • Stop Confusion! Understand Why Group of Or...   direct Product of groups    • External Direct Product 🔥 Full Concept in ...   Ring theory Abstract Algebra    • Ring theory Abstract Algebra   examples of rings    • Ring examples Abstract Algebra   units in ring theory    • Units in ring theory   associate in ring theory    • Associates in ring theory   division rings    • Division ring   ring with zero divisors    • Ring with zero divisors | Ring without zer...   integral domain    • Integral domain Abstract Algebra   kernel of homomorphism    • kernel of homomorphism | kernel f is an id...   prime and maximal ideals    • Prime and maximal ideals   prime and irreducible element    • Prime and irreducible element   cartesian Product of two Sets    • Cartesian Product of Sets 🔥 Easy Explanati...   partition of a set    • Partition of Sets and Numbers 🔥 Tricks + E...   relations mathematics    • Relations 🔥 Reflexive, Symmetric, Transiti...