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For questions involving prime ideals in commutative or noncommutative rings.

1 vote

What are the upperbounds of the Nil radical?

I think I can now answer my own question: The lower-bounds of the Brown-McCoy radical are those ideals that used to be called $G$-rings in the original papers, consisting of elements such that $a\in …
Chrystomath's user avatar
1 vote
1 answer
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What are the upperbounds of the Nil radical?

The main radicals of a non-commutative ring (with 1) are the Sum of all nilpotent ideals $\subseteq$ Prime radical $\subseteq$ Nil radical $\subseteq$ Jacobson radical $\subseteq$ Brown-McCoy radical. …
Chrystomath's user avatar