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Mathematics, 14.09.2019 03:30 morris9878
Determine, in each of the following cases, whether the described system is or not a group. explain your answers. determine what is an abelian group.
a) g = {set of integers , a ∗ b = a − b}
b) g = {set of matrices of size 2 × 2, a ∗ b = a · b}
c) g = {a0, a1, a2, a3, a4ai ∗aj = aii+ji , if i+j < 5, ai ∗aj = aii+j-5i , if i+j ≥ 5}
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Determine, in each of the following cases, whether the described system is or not a group. explain y...
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