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This subtopic studies radical theory, including Jacobson, prime, and nil radicals and their role in classifying ring behavior.
16N20 studies jacobson radical, quasimultiplication in radical theory. It studies radical ideals and closure operations that isolate the solvable, nilpotent, and semiprime core of a ring.
Jacobson radical, quasimultiplication (Wikipedia)
Used to decompose rings into radical and semisimple parts and to control prime-like behavior.
16N40 studies nil and nilpotent radicals, sets, ideals, associative rings in radical theory. It studies radical ideals and closure operations that isolate the solvable, nilpotent, and semiprime core of a ring.
Nil and nilpotent radicals, sets, ideals, associative rings (Wikipedia)
Used to decompose rings into radical and semisimple parts and to control prime-like behavior.
16N60 studies prime and semiprime associative rings in radical theory. It studies radical ideals and closure operations that isolate the solvable, nilpotent, and semiprime core of a ring.
Prime and semiprime associative rings (Wikipedia)
Used to decompose rings into radical and semisimple parts and to control prime-like behavior.
16N80 studies general radicals and associative rings in radical theory. It studies radical ideals and closure operations that isolate the solvable, nilpotent, and semiprime core of a ring.
General radicals and associative rings (Wikipedia)
Used to decompose rings into radical and semisimple parts and to control prime-like behavior.