RING (?; ?)

RATNA SETYANINGSIH, Indah Emilia Wijayanti

2015 | Disertasi | FMIPA

For a supernilpotent radical ? and a special class ?, a ring R is an (?; ?)- essential ring if R is ?-semisimple ring and for each ideal I of R with R=I 2 ?; I\J 6= 0 whenever J is nonzero ideal of R. An (?; ?)-essential ring is generalizing of prime essential ring, that is a semiprime ring whose every prime ideal is essential ideal. This research investigates that some of prime essential ring characteristics which are also valid for (?; ?)-essential ring and constructs some concrete examples of (?; ?)-essential ring.

Kata Kunci : N