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Difference between revisions of "User:Richard Pinch/sandbox-14"

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(Start article: Generating set)
 
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** A [[spanning set]] for a module over a ring, or a vector space;
 
** A [[spanning set]] for a module over a ring, or a vector space;
 
** The set of generators in a [[Presentation|group presentation]].
 
** The set of generators in a [[Presentation|group presentation]].
* For the special cases of [[free algebra]]:
+
* For the special cases of a [[free algebraic system]] on a given set of generators:
 +
** [[Free algebra]]:
 
** [[Free group]];
 
** [[Free group]];
 
** [[Free semi-group]].
 
** [[Free semi-group]].
  
 
See also [[Generator of a category]].
 
See also [[Generator of a category]].
 
  
 
=Identity (disambiguation)=
 
=Identity (disambiguation)=

Latest revision as of 18:28, 28 February 2021

Generating set

Generating set may refer to

  • For an algebraic object $A$, a set $S$ such that the smallest subobject of $A$ containing $S$ is $A$ itself: a set $S$ such that $A$ consists of all elements resulting from applying the algebraic operations of $A$ to combinations of elements of $S$.
  • For the special cases of a free algebraic system on a given set of generators:

See also Generator of a category.

Identity (disambiguation)

Identity may refer to

Order (disambiguation)

The term "order" has far too many meanings for an article under that title to fix on a single one. There are at least three main groups of meanings:

Trace (disambiguation)

Trace may refer to

How to Cite This Entry:
Richard Pinch/sandbox-14. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Richard_Pinch/sandbox-14&oldid=51679