Union of two ideal is ideal|

Описание: Lecture 10 : Theorem: Union of two ideal is again an ideal of a ring iff it contain in one another.
Lecture 9: definition of Prime ideal    • intersection of two ideal is ideal| prime ...  
Theorem: intersection of two ideals of a ring is also an ideal of a ring.
Lecture 8: Definition of Principal Ideal
Definition of Maximal Ideal
Theorem: In ring of integer , ideal is maximal iff it is generated by prime integer.    • Maximal Ideal| Theorem #bsc_maths #abstrac...  
Lecture 7: Definition of an IDEAL
Theorem: if (R,+,.) is ring, S is non empty subset R, then S is an ideal of R iff
1. a-b belong to S
2. rs and sr belong to S    • IDEAL| one step test of ideal #bsc_maths #...  
Lecture 6: Definition of Ring Homomorphism
Definition of Ring Isomorphism
Theorem: In a Ring, Homomorphic image of commutative ring is commutative.    • in ring, homomorphic image of commutative ...  
Lecture 5: if R is a ring such that a^2=a for all a belong to R then
1. a+a=0 , for all a belong to R
2. a+b=0 imply a=b
3. R is a commutative ring    • every element is idempotent then ring is c...  
Lecture 4: Elementary properties of a Ring
1. a.0=0.a=0 for all a belong to ring
2. a.(-b)=(-a).b=-(a.b)
3. (-a).(-b)=-(a.b)    • Elementary properties of a ring| #Ringtheo...  
Lecture 3: Zero Divisor
Ring Without zero divisor
Cancellation law
A ring is without zero divisor iff it holds cancellation law.
   • zero divisor|without zero divisor|cancella...  
Lecture 2: prove set of integer is ring
rind w.r.t addition modulo, multiplication modulo    • prove a set is ring #Ringtheory |start new...  
lecture 1: Definition of Ring    • Definition of Ring #Ring theory |start new...  

Playlist

lectures on REAL ANALYSIS (target NET, JAM, GATE, SET, NBHM, TIFFER.... etc.
   • Real analysis (CSIR NET,JAM,GATE,PhD,MSC e...  

CSIR NET 2020maths, solved question paper:    • CSIR NET  2020maths, solved question paper  

lectures on Group theory:    • Lectures on group theory  

Lectures on Discrete Mathematics:    • Lectures on Discrete Mathematics  

Ring theory is very important part of pure mathematics.
It will ask you almost every exam such as CSIR NET, JAM, GATE MA, NBHM, UPSC optional, M.Sc. Entrance, PhD entrance, M.Sc. , B.Sc, BCA, and many more

so do subscribe my channel for further understanding on the topic , give 👍 and don't forget to press 🔔

thanku