profile-img
Sudhanshu Ranjan posted an Question
August 25, 2020 • 06:42 am 30 points
  • CSIR NET
  • Mathematical Sciences

Is the quoteint ring of an integral domain still an integral domain?

2 Answer(s) Answer Now
  • 0 Likes
  • 3 Comments
  • 0 Shares
  • Shashi ranjan sinha Best Answer

    Example 2 : R =Z and I = 4Z , then R/ I has ( 2+4Z ) as zero divisior and so R/I is not integral domain

  • Shashi ranjan sinha best-answer

    Example 1 : let R = Z and I ={0} , then R/I is isomorphic to R = Z which is integral domain

  • Shashi ranjan sinha

    No, it is not necessary that the quoteint ring of ID is still ID... It may or may not be an integral domain

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers