| 单词 | kernel |
| 释义 | kernel For a homomorphism f:G→H between groups, the kernel is kerf = {g ε G | f(g) = eH}. It is a normal subgroup of G. For a homomorphism f:R→S between rings (or modules), the kernel is kerf = {r ε R | f(r) = 0S}. It is an ideal (or submodule) of R. In each of the above cases, a version of the first isomorphism theorem applies. |
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