Mathematics · Group Theory
मान लीजिए (G, ) एक समूह (group) है। निम्नलिखित में से कौन सा कथन असत्य है?
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- 1(b * a)-1 = a-1 * b-1
- 2यदि a, b, c ∈ G, तो a * b = a * c ⇒ b = c.
- 3प्रत्येक a ∈ G के लिए, एक अद्वितीय अवयव a-1 होता है जैसे कि a-1 * a = a * a-1 = e.
- 4यदि a, b ∈ G, तो रैखिक समीकरणों a * x = b और y * a = b के कई समाधान हो सकते हैं।✓
सही उत्तर देखें
यदि a, b ∈ G, तो रैखिक समीकरणों a * x = b और y * a = b के कई समाधान हो सकते हैं।
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