Let k, m be fixed integers. Find all values for k, m for which (Z, , )

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Let k, m be fixed integers. Find all values for k, m for which (Z, ⊕, ⊙) is a ring under the binary operations x ⊕ y = x + y - k, x ⊙ y = x + y - mxy, where x, y ∈ Z.
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