| 1. | Machine notching and folding ensures that the shingles have uniform dimensions.
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| 2. | Modules of finite uniform dimension generalize both Artinian modules and Noetherian modules.
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| 3. | Finitely cogenerated modules must have finite uniform dimension.
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| 4. | It is always the case that a finitely cogenerated module has finite uniform dimension.
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| 5. | It is possible to have two different uniform dimensions on the opposite sides of a ring.
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| 6. | Studies of hollow modules and co-uniform dimension were conducted in,,, and.
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| 7. | Somewhat asymmetrically, finitely generated modules " do not " necessarily have finite uniform dimension.
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| 8. | Uniform dimension generalizes some, but not all, aspects of the notion of the dimension of a vector space.
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| 9. | Uniform dimension should not be confused with the related notion, also due to Goldie, of the reduced rank of a module.
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| 10. | Cards came in all shapes and sizes, but by the 1840s uniform dimensions had been established, though ladies generally had bigger cards than gentlemen.
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