Hence $F$ is the sum of an injective module and a projective module.
Here $p_2(r)$ is the sum of the squares of the divisors of $r$.
Every $F$ is a sum of irreducible elements.
Here $F$ is the sum of a collection of ......
The sum is taken over all $a$ dividing $p$.
[see also: add]
Summing (2) and (3), we obtain ......
Keep only those vertices whose coordinates sum to 4. [= add up to 4]
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