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  "body": "\n## Summary\n\nA uniserial module is a [[module|0NZ8JA25WK]] whose [[submodules|05WDSN597C]] form a chain: of any two submodules, one contains the other.\nUniserial modules are the building blocks of serial modules and [[serial rings|TW3ESQB3GQ]].\nOver a [[discrete valuation ring|MGM3CNJW9V]] and over many finite-dimensional algebras, the indecomposable modules of finite length are uniserial, which makes these modules easy to classify.\n\n## Explanations\n\n### L1 human\n\nPicture the submodules of a uniserial module as the rungs of a single ladder.\nThere are no side branches: you can only go up or down the ladder.\nThe abelian group $\\Z/8\\Z$ is uniserial, because its only subgroups are $0 \\subset 4\\Z/8\\Z \\subset 2\\Z/8\\Z \\subset \\Z/8\\Z$.\nThe group $\\Z/6\\Z$ is not uniserial, because its subgroups of order $2$ and $3$ do not contain each other.\n",
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