Rings: Binary Structures & Ring Homomorphism


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question 1 of 3

Which of the following sets is a ring?

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1. What are the elements of the modulo-3 ring?

2. The following set is a ring. Answer the question regarding one of its properties.

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About This Quiz & Worksheet

These assessments are designed to quiz your understanding of rings in abstract algebra. For the quiz, you'll be responsible for knowing about key points like how to identify a ring in a given set and the elements of a modulo-3 ring.

Quiz & Worksheet Goals

See how much you know about:

  • A property of a ring in a set
  • The multiplicative identity for a set
  • A modulo-5 question

Skills Practiced

  • Problem solving - use acquired knowledge to solve practice problems involving rings in abstract algebra
  • Information recall - access the knowledge you've gained regarding the properties of a ring in a given set
  • Critical thinking - apply relevant concepts to examine information about algebra in a different light

Additional Learning

Feel free to learn more about the topic with the lesson called Rings: Binary Structures & Ring Homomorphism. These particular key points will be addressed:

  • How to define rings with regard to mathematics
  • What set operations are
  • How to determine if a set is a binary structure
  • The rules of rings in abstract algebra
  • What homomorphism is
  • Examples of modulo-n functions