OpenMath Content Dictionary: semigroup4

Canonical URL:
http://www.openmath.org/cd/semigroup4.ocd
CD Base:
http://www.openmath.org/cd
CD File:
semigroup4.ocd
CD as XML Encoded OpenMath:
semigroup4.omcd
Defines:
automorphism_group, homomorphism_by_generators
Date:
2004-06-01
Version:
1 (Revision 1)
Review Date:
2006-06-01
Status:
experimental

A CD of functions for morphisms of semigroups.

Written by Arjeh M. Cohen 2004-07-07

automorphism_group

Description:

This is a function with a single argument which must be a semigroup. It refers to the automorphism group of its argument.

Signatures:
sts


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homomorphism_by_generators

Description:

This is a function with three arguments the first two of which must be semigroups F and K. The third argument should be a set or a list L of ordered pairs (lists of length 2). Each pair [x,y] from L consists of an element x from F and an element y from K. when applied to F, K, and L, the symbol represents the homomorphism from F to K that maps the first entry x of each pair [x,y] to the second entry y of the same pair.

Signatures:
sts


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