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