Computer Science · Discrete Mathematics

Let ({a, b}, ) be a algebraic semigroup containing exactly two elements, where the operation satisfies a a = b. Consider the following statements: (A) The operation is commutative, i.e., a * b = b * a. (B) The element b is idempotent, i.e., b * b = b. Choose the most appropriate answer:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

Only (A) is true

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Chapter Practice

Want more practice questions on Discrete Mathematics?

Solve complete topic-wise tests with detailed solutions on GkGet.

Recommended practice questions in Computer Science · Discrete Mathematics

The 'Drain of Wealth' theory was propounded by which Indian nationalist leader?

Which event is considered the turning point in Mahatma Gandhi's leadership in the Indian independence movement?

Which African leader is known for his non-violent opposition to colonial rule?

Let ({a, b}, *) be a algebraic semigroup containing exactly two elements, where the operation satisfies a * a = b. Consider the following statements: (A) The operation is commutative, i.e., a * b = b * a. (B) The element b is idempotent, i.e., b * b = b. Choose the most appropriate answer: