| |
|
Gábor Braun
Characterization of matrix types of ultramatricial algebras
|
|
| Published: |
January 31, 2005
|
| Keywords: |
matrix type of a ring; dimension group; ultramtaricial algebra; automorphism group of a dimension group |
| Subject: |
Primary 20K30, 16S50; Secondary 06F20, 19A49 |
|
|
Abstract
For any equivalence relation ≡ on positive integers such that nk ≡ mk if and
only if n ≡ m, there is an abelian group G such that the
endomorphism ring of Gn and Gm are isomorphic if and only if n ≡
m. However, Gn and Gm are not isomorphic if n ≠ m.
|
|
| Author information
Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Reáltanoda u 13-15, 1053, Hungary
braung@renyi.hu
|
|
