local
Meanings
adj
- From or in a nearby location.
- Connected directly to a particular computer, processor, etc.; able to be accessed offline.
- Having limited scope (either lexical or dynamic); only accessible within a certain portion of a program.
- Applying to or satisfied by substructures understood as "near points;" in particular:
- Satisfied by at least one open neighborhood of every point.
- Satisfied by arbitrarily small open neighborhoods of every point.
- Satisfied by every finitely generated subgroup.
- Detectable from the behavior of substructures understood to be "near points;" in particular:
- Such that the following conditions are equivalent: (1) P holds for R (M); (2) P holds for the localization R_p (M_p) for all prime ideals p of R; (3) P holds for the localization R_m (M_m) for all maximal ideals m of R.
- Detectable from the behavior of the normalizers of the nontrivial p-subgroups.
- Having a unique maximal (left) ideal.
- Of or pertaining to a restricted part of an organism.
noun
- A person who lives in or near a given place.
- A branch of a nationwide organization such as a trade union.
- Clipping of local train.
- One's nearest or regularly frequented public house or bar.
- A locally scoped identifier.
- An item of news relating to the place where the newspaper is published.
- Clipping of local anesthetic.
- An independent trader who acts for themselves rather than on behalf of investors.
- A Twitter user who is not a part of Stan Twitter.
adv
- In the local area; within a city, state, country, etc.
Pronunciation
Word forms
Etymology
From Middle English local, from Late Latin locālis (“belonging to a place”), possibly also via Old French local; ultimately from Latin locus (“a place”). The ring-theoretic senses derive from Krull, who first referred to Noetherian commutative rings with a unique maximal ideal as "Stellenring" (Stellen (“place”) + ring) in 1938. The term was inspired by algebraic geometry, where local rings encode information about the behavior of curves (surfaces, etc.) at points; hence, describe "local" behavior.
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