Titlebook: Rings, Modules, and Closure Operations; Jesse Elliott Book 2019 Springer Nature Switzerland AG 2019 ring operations.closure operations.alg

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Semistar Operations on Commutative Rings: Local Methods,of commutative algebra, specifically the tools of prime ideals, localization, large localization, valuation domains, Manis valuation rings, essential primes, weak Bourbaki associated primes, and strong Krull primes.

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Noncommutative Rings and Closure Operations on Submodules,for studying rings and their modules. In this chapter, we show that both are equivalent to certain functorial closure operations on submodules, and any “cohereditary” radical is completely determined by the closure operation it induces on left ideals.

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