Math 2.0

Mathematical logic and foundations Model theory: basic notions Concept

Substructure

Summary

A substructure of a structure is a subset of its domain that is closed under the functions and contains the constants. Each symbol is interpreted on it by restriction. It is the common form of subgroups, subrings and induced subgraphs. Which subsets are substructures depends on the signature, not only on the structure.

Where this leads

5 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Substructure_(mathematics)
About this page
Tag676H7EGTKJ
URIm2://676H7EGTKJ
Kindconcept
WritingW0 stub
MSC03C07
Same as
Changed2 November 2026

Markdown · JSON · Edit on GitHub

What this page needs for W1

  • an inventory row: the row of the inventory that the node accounts for (0 of 1)
  • a source with a locator (0 of 1)

The writing levels say how complete the text of a page is. They do not measure its truth.

What links here

Used by

Special cases

Definitions