discrete valuation ring
A discrete valuation ring is a principal ideal domain with exactly one nonzero maximal ideal . Any generator of is called a uniformizer or uniformizing element of ; in other words, a uniformizer of is an element such that but .
Given a discrete valuation ring and a uniformizer , every element can be written uniquely in the form for some unit and some nonnegative integer . The integer is called the order of , and its value is independent of the choice of uniformizing element .
|Title||discrete valuation ring|
|Date of creation||2013-03-22 12:16:40|
|Last modified on||2013-03-22 12:16:40|
|Last modified by||djao (24)|