A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Hereditary semisimple classes

1970
*
Glasgow Mathematical Journal
*

It is well-known (see e.g. [1, p. 5]) that a class Jt of (not necessarily associative) rings is the semisimple class for some radical class, relative to some universal class W if and only if it has the following properties: (a) UReJt, then every non-zero ideal /of R has a non-zero homomorphic image I/JeJt. In fact °UM is the radical class whose semisimple class is Jl. On the other hand, if 9> is a radical class, theny^1 = {Keif\ if / is a non-zero ideal of A", then !$&} is its semisimple class.

doi:10.1017/s0017089500000781
fatcat:ee3k4ksqcjfexlyy55ehcfr34y