Subrings | Subring Test, Center & Intersection | Solved Problems | BSc 1st Year Algebra скачать в хорошем качестве

Subrings | Subring Test, Center & Intersection | Solved Problems | BSc 1st Year Algebra

Subrings | Subring Test, Center & Intersection | Solved Problems | BSc 1st Year Algebra Welcome to K. Mathematics 🎓 In this video, we study the topic SUBRINGS from the paper Introduction to Algebra and Number Theory, specially designed for BSc 1st Year students. This lecture covers: Definition of Subring Subring Test (Theorem) Important solved problems Center of a ring as a subring Intersection of subrings All concepts are explained step by step, in an exam-oriented and easy-to-understand manner. ⏱️ Time Stamps (Easy Navigation) 0:00 – Introduction 0:36 – Definition of Subring 1:55 – Theorem: Subring Test 4:13 – Problem 1: Subring of M_2(Z) 6:15 – Problem 2: Center of a Ring Z(R) is a Subring 9:08 – Problem 3: Intersection of Two Subrings 10:52 – Outro 📌 Who should watch this video? ✔ BSc 1st Year Mathematics students ✔ Students studying Ring Theory ✔ University exam preparation ✔ Learners of Abstract Algebra / Number Theory ✍️ Topics Covered What is a Subring Subring notation and conditions Subring Test (Necessary & Sufficient conditions) Diagonal matrices as a subring of M_2(Z) Center of a ring Z(R) Intersection of subrings Solved examples for exams 📖 Exam Importance This chapter is very important for university exams, and questions are frequently asked on: Subring Test Center of a ring Intersection of subrings Matrix subring 👍 Support the Channel If this video helps you: 👍 Like the video 💬 Comment your doubts 🔔 Subscribe to K. Mathematics 📤 Share with your classmates Your Queries: subrings subring subring test subring test theorem subring definition subring examples subring solved problems center of ring center of a ring Z(R) Z(R) is a subring intersection of subrings intersection of two subrings matrix subring M2(Z) M_2(Z) subring diagonal matrices subring ring theory ring theory bsc abstract algebra abstract algebra bsc bsc 1st year algebra bsc first year mathematics introduction to algebra and number theory algebra and number theory ring theory lecture ring theory full chapter subring lecture subring explanation subring test explained subring problems subring exam questions university algebra algebra for bsc students algebra mathematics maths bsc algebra k mathematics k mathematics algebra algebra youtube lecture mathematics lecture bsc ring theory solved examples ring theory basics algebra concepts maths for undergraduates arbitrary intersection of subrings is a subring intersection of two subrings is a subring urdu hindi arbitrary intersection of subrings urdu hindi subring abstract algebra subring test examples bsc mathematics 1st year ideal test in abstract algebra subring test previous year solved question paper previous year solved question papers previous year solved question subrings of integers with proof subrings of integers modulo n with proof ideal test abstract algebra abstract algebra ideal test #Subrings #SubringTest #RingTheory #AbstractAlgebra #BScMathematics #BScFirstYear #Algebra #IntroductionToAlgebra #AlgebraAndNumberTheory #Subring #SubringProblems #SolvedProblems #CenterOfRing #ZR #IntersectionOfSubrings #MatrixSubring #M2Z #DiagonalMatrices #UniversityMaths #MathematicsLecture #MathsForBSc#kmathematics #education #bscmathematics #bscmathematics #conicsections #maths #fmuniversity #engineering #analyticgeometry #kishan #nep2025 #nep2020 #utkaluniversity #grouptheory #MathsStudents #AlgebraLecture #AlgebraTutorial #RingTheoryLecture #RingTheoryProblems #MathsEducation #HigherMathematics #PureMathematics #MathsYoutube #OnlineMathsClass #ExamPreparation #CollegeMathematics #KMathematics #LearnAlgebra #MathsConcepts #MathematicsChannel #IndianEducation