A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Category-Isomorphisms and Endomorphism Rings of Modules

1962
*
Transactions of the American Mathematical Society
*

Let A =A¡(BA2 be a semi-simple ring such that A¡ and A2 are isomorphic respectively to the full matrix rings (K)2 and (K)3 over a field K. If we denote by L¡ the simple right ideal of Ai (í = l, 2) and put X'=L¡®¿2©Lt, Y=L1®Li®L2, then the endomorphism rings of X and Y are isomorphic, but there is no semi-linear isomorphism of X onto Y. (2) The category in which "objects" are modules in 31 and "maps" are all .4-homomorphisms between modules in St will be denoted by the same letter 21. Here we

doi:10.2307/1993839
fatcat:gbifgo32mfcgfiaiv3fqulwmlm