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?
ℤ
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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