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Completion Fractions Modules of Filtered Modules over Non-necessarily Commutative Filtered Rings

  • Abdoulaye Mane,
  • Mohamed Ben Maaouia,
  • Mamadou Sanghare

摘要

In this chapter, \((A, (I_n)_{n \in \mathbb {N}})\) is a filtered noncommutative ring, S is a saturated multiplicative subset of A satisfying the left Ore conditions, and \((M, (M_n)_{n \in \mathbb {N}})\) is a filtered left A-module. The main results in this chapter are the following theorems: