PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
sections
Encyclopædia
Papers
Books
Expositions

meta
Requests (192)
Orphanage
Unclass'd
Unproven (496)
Corrections (20)
Classification

talkback
Polls
Forums
Feedback
Bug Reports

downloads
Snapshots
PM Book

information
News
Docs
Wiki
ChangeLog
TODO List
Legalese
About
Owner confidence rating: Very high Entry average rating: No information on entry rating
[parent] relational structure (Derivation)

A relational structure is a structure whose signature consists only of relation symbols.

Any structure may be made into a relational structure. Replace each $ n$-ary function symbol in its signature with a new $ n+1$-ary relation symbol, and now interpret these as the graph of the corresponding function. Note that a constant is a 0-ary function.



"relational structure" is owned by CWoo. [ owner history (2) ]
(view preamble)

View style:

See Also: structure, relational system, axiomatic theories and categorical foundations of mathematics-II, abstract relational biology

Keywords:  relation, structure

This object's parent.
Log in to rate this entry.
(view current ratings)

Cross-references: function, function symbol, relation symbols, signature, structure
There are 4 references to this entry.

This is version 2 of relational structure, born on 2004-03-29, modified 2004-03-29.
Object id is 5733, canonical name is RelationalStructure.
Accessed 1694 times total.

Classification:
AMS MSC: 03C07 (Mathematical logic and foundations :: Model theory :: Basic properties of first-order languages and structures)
Pending Errata and Addenda
None.
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | add example | add (any)