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B.2.4 Local orderings

For ls, ds, Ds and, if the weights are positive integers, also for ws and Ws, we have the localization of at the maximal ideal

ls:
negative lexicographical ordering:
ds:
negative degree reverse lexicographical ordering:

Ds:
negative degree lexicographical ordering:

ws:
(general) weighted reverse lexicographical ordering:
a nonzero integer, any integer (including 0), is defined as ds but with
Ws:
(general) weighted lexicographical ordering:
a nonzero integer, any integer (including 0), is defined as Ds but with


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