Mathematics · Group Theory
तत्समक अवयव (identity element) 'e' वाले एक मोनोइड (M, *) को समूह (group) कहा जाता है यदि M में प्रत्येक अवयव 'a' के लिए, M में एक ऐसा अवयव 'c' मौजूद हो कि:
- 1(a * c) = (c * a) = e✓
- 2(a + c) = a
- 3(a * c) = (a + c)
- 4(a * a) = a = (a + c)
सही उत्तर देखें
(a * c) = (c * a) = e
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