Lemma 56.4.3. With $A$, $B$, $F$, and $F'$ as in Lemma 56.4.1.

If $F$ is additive, then $F'$ is additive and commutes with arbitrary direct sums, and

if $F$ is right exact, then $F'$ is right exact.

Lemma 56.4.3. With $A$, $B$, $F$, and $F'$ as in Lemma 56.4.1.

If $F$ is additive, then $F'$ is additive and commutes with arbitrary direct sums, and

if $F$ is right exact, then $F'$ is right exact.

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