APS of algebras
From Apstheory
[edit] Definition
[edit] Symbol-free definition
An APS of algebras over a base ring is an APS of rings, each of which is an algebra over the base ring, such that the block concatenation maps are algebra homomorphisms.
[edit] Definition with symbols
An APS Failed to parse (Can't write to or create math temp directory): (G,\\Phi)
of algebras over a base ring Failed to parse (Can't write to or create math temp directory): R is an APS of rings where each member Failed to parse (Can't write to or create math temp directory): G_n is a Failed to parse (Can't write to or create math temp directory): R
-algebra and the block concatenation map Failed to parse (Can't write to or create math temp directory): G_m
× Failed to parse (Can't write to or create math temp directory): G_n → Failed to parse (Can't write to or create math temp directory): G_{m+n} is a Failed to parse (Can't write to or create math temp directory): R
-algebra homomorphism.
- Further information: APS of rings