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WebMar 30, 2024 · Define a relation R in X given by R = { (a, b): f (a) = f (b)}. Examine whether R is an equivalence relation or not. Equivalence relation are Relations which are reflexive, transitive and symmetric. R = { (a, b): f (a) = f (b)} Check reflexive Since f (a) = f (a), ∴ (a, a) ∈ R, Hence, R is reflexive. WebJun 25, 2024 · 5. Hi, a morphism f is a structure preserving mapping, and under a morphism the following holds: f (ab) = f (a)f (b) what is the name for a similar concept but where instead we have: f (ab) = f (b)f (a) This happens for example for the element inversion in a group: . I found it somewhere, some time ago, but I cannot find it anymore. pldt v city of davao
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