Goldie absolute direct summand rings and modules

Authors

  • Truong Cong Quynh
  • Serap Sahinkaya Gebze Technical University

DOI:

https://doi.org/10.24193/subbmath.2018.4.02

Abstract

In the present paper, we introduce and study Goldie ADS modules and rings, which subsume two generalizations of Goldie extending modules due to Akalan et al. [3] and ADS-modules due to Alahmadi et al. [7]. A module M will be called a Goldie ADS module if for every decomposition M = S ⊕ T of M and every complement T 0 of S, there exists a submodule D of M such that T 0βD and M = S ⊕ D. Various properties concerning direct sums of Goldie ADS modules are established.

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Published

2018-12-08

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Section

Articles