Ring Definitions and Basic Properties Quiz

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9 Questions

Which of the following rings is a commutative ring?

(ℤ𝑖, +,∙)

Which of the following is an example of a non-commutative ring with identity?

(𝑀2 ℤ, +,∙)

Which product defines the remainder of the usual product of integers when divided in the cyclic group (ℤ𝑛 , +)?

$a \cdot b$

Which of the following rings is an infinite ring?

When is a ring called a finite ring?

When it has only a finite number of elements

What is the significance of the number 365 in the text?

It represents the number of days in a year

What does the text suggest about the star 'Alshar'?

It is visible for 365 days in a year

What is the significance of '12' in the context of 'Alshar'?

It represents the number of months in a year

What does the text imply about the importance of 'Al-Najm Al-Sha'ary Al-Yamani'?

It holds significance in Yemeni astronomy and poetry

Test your knowledge of ring definitions and basic properties with this quiz. Explore the conditions that a set R must satisfy to be considered a ring, as well as the properties of addition and multiplication within the ring.

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