Learn Abstract Algebra concepts guided by JAM/GATE/JRF PhD experts, having exam-ready syllabus and live sessions.
Algebra is the foundation of modern mathematics, cryptography, and abstract structure theory. This course provides comprehensive coverage of groups, rings, and fields with rigorous proofs, deep theoretical insights, and competition-oriented problem-solving for IIT JAM and CUET PG aspirants.
Cyclic, Abelian, non-Abelian, permutation groups, normal subgroups, quotient groups, and homomorphisms.
Rings, subrings, ideals, prime ideals, maximal ideals, and quotient ring construction.
Introduction to fields and quotient fields.
From basic group structures to quotient fields and advanced algebra
Cyclic, abelian, non-abelian, and permutation groups with their fundamental properties.
Master Lagrange's theorem, quotient structure, and group homomorphisms.
Rings, subrings, and ideals—prime ideals and maximal ideals with applications.
Introduction to fields and quotient field.
Rigorous proof writing and rapid problem-solving for IIT JAM & CUET PG exams.
Earn a verified certificate showcasing your mastery of Algebra
Six intensive modules covering groups, rings, and fields
Rapid group identification and order computation
Permutation group computations and cycle notation
Lagrange's theorem applications and normal subgroup identification
Homomorphism identification and isomorphism theorem applications
Ring structure identification and unit/zero divisor computation
Prime/maximal ideal identification and quotient field construction
IIT JAM & CUET PG focused with previous year problem analysis
Complete proofs and deep theoretical foundations
Groups, rings, fields—comprehensive structure coverage
Quotient groups, rings, and field theory
Real-time proof walkthroughs and problem-solving
Comprehensive problem sets with detailed solutions
Your instructors are IIT JAM, GATE, and CSIR JRF qualified PhD holders with extensive academic and research backgrounds from India's premier institutions.
Perfect for students comfortable with abstract mathematical thinking
Where algebra expertise leads
Academic research in algebra
Information security specialist
Error correction & data science
Advanced research pathways
Master Algebra for competitive exams and research excellence
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