# Thread: creating complex analysis in abstract space

1. ## creating complex analysis in abstract space

we know that in complex analysis i*i = -1 now lets suppose that we have a space (A) and j belong to A. suppose that j*j = -i where i is a unique square matris in A. now the task is that: create the space A and do all operations wich was done in complex numbers space (C)

2. Originally Posted by hers19
we know that in complex analysis i*i = -1 now lets suppose that we have a space (A) and j belong to A. suppose that j*j = -i where i is a unique square matris in A. now the task is that: create the space A and do all operations wich was done in complex numbers space (C)
What kind of space is this? Vector space?

3. Originally Posted by Drexel28
What kind of space is this? Vector space?
elements of A are square matrises (n*n, n belongs N). and the task is to create complex analysis in this Space.( for example the complex space (C) that we know may be created as follows : first we suppose i*i = -1 (i belongs C) and each element of C can be indicated x+i*y then we define complex numbers sequences, limit, then complex functions, diferentiation ,integration and so on )