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Articles

Comultiplication submodules of multiplication modules

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Pages 4832-4845 | Received 28 Aug 2019, Accepted 12 Apr 2020, Published online: 18 Jun 2020
 

Abstract

All rings are commutative with identity, and all modules are unital. The purpose of this work is to investigate comultiplication submodules of multiplication modules. Various properties of this class of submodules are considered. Sufficient conditions for the sum and intersection of a finite collection of comultiplication submodules to be a comultiplication submodule are also given.

2000 Mathematics Subject Classification:

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