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This subtopic studies local rings and related classes, focusing on localizations and local behavior in noncommutative settings.
16L30 studies noncommutative local and semilocal rings, perfect rings in local rings and related classes. It studies ring-theoretic local behavior, semilocal structure, and Frobenius-type symmetry conditions.
Noncommutative local and semilocal rings, perfect rings (Wikipedia)
Used to detect local structure, module-theoretic finiteness, and self-injective or quasi-Frobenius behavior.
16L60 studies quasi-frobenius rings in local rings and related classes. It studies ring-theoretic local behavior, semilocal structure, and Frobenius-type symmetry conditions.
Quasi-Frobenius rings (Wikipedia)
Used to detect local structure, module-theoretic finiteness, and self-injective or quasi-Frobenius behavior.