What does this notation mean, which looks like direct sum?

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I ran across this notation in a paper. What does $ Z^{\bigoplus n(n-1)}$ mean? I knew that $ Z^n$ or $ Z^{(n)} $ means direct sum, but never met this one.

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It also means direct sum. The reason this notation exists is that if $I$ is an infinite index set, $Z^I$ should mean the direct product of an $I$-indexed family of copies of $Z$, which is different from the direct sum.