Polynomial automorphism IAPS

From Apstheory

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Current revision as of 14:44, 30 December 2006

Contents 1 Definition 1.1 Definition with symbols 1.2 As a functor 2 See also

[edit] Definition

[edit] Definition with symbols

The polynomial automorphism IAPS over a ring Failed to parse (Can't write to or create math temp directory): R

is an IAPS of groups whose Failed to parse (Can't write to or create math temp directory): n^{th}
member is the automorphism group of Failed to parse (Can't write to or create math temp directory): R[x_1,x_2,...,x_n]
as an Failed to parse (Can't write to or create math temp directory): R

-algebra.

The block concatenation map is defined as ...

[edit] As a functor

The polynomial automorphism functor is an IAPS functor from the category of rings to the category of groups, that is, it takes as input a ring and returns an IAPS of groups.

[edit] See also

• Polynomial endomorphism IAPS