I am reading the book "rings with involution" by I.N.Herstein. it is written on page no. 15 paragraph no. 3 that R is primitive ring so it has no nilpotent ideals. This made me think so. Thanks in advance
2026-04-03 09:14:13.1775207653
Is there any relationship between primitive rings and semi-prime rings? If yes, then what?
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A right (or left) primitive ring is also prime, and hence semiprime.
To expand a bit, let's talk about four classes of rings: