Get prepared for the DSSSB TGT & PGT MATHS exam with these previous year questions on the topic of Group Theory & Ring Theory (Graduation Level). This video will help you understand the key concepts and types of questions that have been asked in previous exams. Don't miss this valuable resource for your DSSSB TGT and PGT Maths exam preparation!
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*Topic Cover*
*Group Theory*
Order of Group
Subgroups
Abelian Group
Lagrange's theorem
Normal subgroups and quotient groups
Cyclic groups
Centre of Group
Centralizer of a Group
Cosets
Permutation groups
Sylow theorems
Symmetry groups
Alternating Group
Simple Group
Cayley’s Theorem
Isomorphism theorems
Zassenhaus Lemma
Jordan Theorem
Solvable group
Nilpotent Group
Homomorphism
Automorphism
Epimorphism
Monomorphism, endomorphism
*Ring Theory*
Commutative ring
Gaussian integer
Gaussian integer modulo n
Ring with unity
Commutative Ring with unity
Boolean Ring
Zero divisor
Integral Domain
Subring
Sum of two subring
Idempotent elements
Nilpotent elements
Units
Ideal (Left or Right)
Field
Maximal Ideal
Prime ideal
Number of prime
Factor ring
Characteristic of Ring
Ring Homomorphism
Trivial Ring homomorphism
Polynomial Ring
Degree of polynomial
Sum of two polynomial
Product of two polynomial
Irreducible polynomial
Eisenstein's Irreducible criterion
Galois field
Chinese Remainder Theorem for ideal
Principal ideal
Irreducible element
Prime element
Principal ideal domain
Euclidean domain
Associate
Unique Factorization domain(U.F.O.)
Extension field
degree of extension
finite extension
Algebraic element
Algebraic extension
Primitive element
Splitting field
Galois group
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Негізгі бет DSSSB TGT PGT MATHS में Group Theory & Ring Theory से कितने Question पूछें गए Previous Year Exam में
Пікірлер: 70