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Serial module: Properties of uniserial and serial rings and modules, Examples & Structure
In abstract algebra, a uniserial module M is a module over a ring R, whose submodules are totally ordered by inclusion. This means simply that for any two submodules N1 and N2 of M, either N 1 ⊆ N 2 {\displaystyle N_{1}\subseteq N_{2}} or N 2 ⊆ N 1 {\displaystyle N_{2}\subseteq N_{1}} . A module is called a serial module if it is the direct sum of…
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