Teaching UP TGT Mock Test Series 2025 Engineering Mathematics Set Theory & Algebra

(G, o) → (G', o') एक समूह समरूपता है यदि

1
f(a o b) = f(a) o' f(b) सभी a, b ∈ G के लिए
2
f(a + b) = f(a) o' f(b) सभी a, b ∈ G के लिए
3
f(a * b) = f(a) o' f(b) सभी a, b ∈ G के लिए
4
f(a - b) = f(a) o' f(b) सभी a, b ∈ G के लिए
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