Definition:Normal Series/Infinite

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A normal series may or may not terminate at either end:

$\cdots \stackrel {\phi_{i - 1} } {\longrightarrow} H_{i - 1} \stackrel {\phi_i} {\longrightarrow} H_i \stackrel {\phi_{i + 1} } {\longrightarrow} H_{i + 1} \stackrel {\phi_{i + 2} } {\longrightarrow} \cdots$

Such a series is referred to as an infinite normal series.

The context will determine which end, if either, it terminates.