This contrasts the finite uniform dimension case, since it is known a ring can have finite uniform dimension on one side and infinite uniform dimension on the other.
12.
This contrasts the finite uniform dimension case, since it is known a ring can have finite uniform dimension on one side and infinite uniform dimension on the other.
13.
This contrasts the finite uniform dimension case, since it is known a ring can have finite uniform dimension on one side and infinite uniform dimension on the other.
14.
Finite uniform dimension was a key assumption for several theorems by Goldie, including Goldie's theorem, which characterizes which rings are right orders in a semisimple ring.
15.
All current plates are manufactured to uniform dimensions and are made of pressed aluminium, except for certain special series plates; the form of which differs by state and design.
16.
Grzeszczuk and Puczylowski in gave a definition of uniform dimension for modular lattices such that the hollow dimension of a module was the uniform dimension of its dual lattice of submodules.
17.
Grzeszczuk and Puczylowski in gave a definition of uniform dimension for modular lattices such that the hollow dimension of a module was the uniform dimension of its dual lattice of submodules.
18.
Goldie worked in ring theory where he introduced the notion of the uniform dimension of a module, and the Independent obituary described him as the " Lord of the Rings ".
19.
In the literature, uniform dimension is also referred to as simply the "'dimension of a module "'or the "'rank of a module " '.
20.
The system calls for using interchangeable parts, which is made possible by a strict system of organization, the extensive use of the machine shop, and quality control systems utilizing gauges to ensure precise and uniform dimensions.
