A First Course in Abstract Algebra: Group Theory,Ring Theory – Radhe Global
(UPDATED) Modern Algebra for Group Theory, Linear Algebra, Discrete Mathematics, Cryptography, Complex Analysis Students
Instructor Names: Math Reddy
link: https://www.udemy.com/course/abstract-algebragroup-theory/
Objective
[ Updated ( August – 2024) with new Video lectures ] Abstract Algebra – Group Theory and Ring Theory Group theory with all types of groups, The Klein Four-Group, including Sub group, Commutative group, Cyclic Group, Permutation group Ring theory with Zero Divisors, Commutative Ring, Ring with Zero Divisors, Division Ring or Skew Field, Field
Curriculum
A First Course in Abstract Algebra: Group Theory, Ring Theory, 30-Day Money-Back Guarantee and 3 more benefits, Unlocking the Power of Abstract Algebra – Download PDF, part 1, part 2, Part 3, Part 4, Part 5, Download PDF on What is Abstract Algebra and it’s Applications, Abstract Algebra : A to Z TOPICS – IN THIS COURSE, Download PDF on topics Dihedral Groups (Group of Symmetries) and many more., PDF : Download the Abstract Algebra PDF from the attached file in the Resource, Download the New Resource, Binary Operation and Algebraic Structure, What is Abstract Algebra?, What is Abstract Algebra ?, Abstract Algebra: A Journey into the Foundations of Mathematics, Special Notations in Abstract Algebra, what is Binary Operation in abstract algebra?, What is Binary Operation in Abstract algebra, 2 Examples on Commutative Binary operation, Choose the correct answer, Algebraic Structure of a Set, Closure Property in abstract algebra, How to understand Closure Property in Group Theory?, Associative Property, How to understand Associative Property in Group Theory?, Download Flash Card on Identity Property, Identity Property, How to explain Identity Property in detail?, What is Monoid?, Inverse Property, How to explain Inverse Property in detail?, Download Flash Card on Inverse Property, Commutative Property, What is Group,Sub Group and Order of the Group?, What is Semi Group?, What is Semi Group in Group theory of Abstract algebra, When Set is called as Group?, The definition of a group, Special Linear Group, the Group C^n, and the additive Group of Integers Modulo, How to explain Group in detail?, Is (Z, +) Group or Not?, Examples of Group – Part 1, Examples of Group in Abstract Algebra, Examples of Group – Part 2, The Klein Four-Group, Sub Group, Order of the group, Order of element in group theory, Basic Properties of Groups, Proof that the Identity Element is Unique | Group Theory, Proof that the Inverse of each Element is Unique | Group Theory, The Order of an Element in Group, Order of the element in a group, How to find Order of an element of Group?, Problem 2:How to find Order of an element?, What is Permutation Group? | Group Theory, Solved example problems on Even and Odd Permutations, Functions, Functions Part – 1 in Mathematics, Functions Part – 2 in Mathematics, Solved Problem 1, Solved Problem 2, How to define Permutation Group?, Solved Problem on How to find Product of two Permutations?, Cyclic Group and Abelian Group: Important Theorems and Statements, What is Cyclic Group and Generator of Cyclic Group?, What is Cyclic Group and Generator of Cyclic Group?, How to find the Generator of a Cyclic group?, Solved Problem on finding Generator of Cyclic Group, Download Notes on Important Statements, Langrange’s Theorem, Lagrange’s Theorem in Group theory of Abstract algebra, Langrange’s Theorem and proof in Group theory of Abstract algebra, Cosets in Group Theory, Cosets in Group Theory – Right Coset and Left Coset, Cosets in Group Theory – Right Coset and Left Coset, Normal Subgroups, Normal Subgroup, Normal Subgroup Definition, Prove a subgroup H of group G is a normal subgroup if and only if xHx^(-1) = H, The Intersection of Normal Subgroups is Normal Subgroup, Homomorphism of two Groups, Homomorphism of two Groups, About Homomorphism, Monomorphisms, Epimorphisms and Automorphisms, What is Bijective function?, Isomorphism of two Groups, Fundamental Theorem on Homomorphism of Groups, All Theorems in Group Theory, Group Theory : All Theorems (Statements), Ring Theory | Abstract Algebra, What is Ring in Abstract algebra, What is Ring?, What does it mean by Ring with Unity?, What is Commutative Ring?, Definition of Ring with Zero Divisors, What is Division Ring or Skew Field?, What is Field? – Abstract Algebra, Congratulations for Completing Course, THANK YOU FOR ENROLLING AND COMPLETING THE COURSE, Assignment : Just for Practice, A Small Question for You
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