Goldie absolute direct summand rings and modules
DOI:
https://doi.org/10.24193/subbmath.2018.4.02Abstract
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.Downloads
Published
2018-12-08
Issue
Section
Articles
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Transfer of copyright agreement: When the article is accepted for publication, the authors and the representative of the coauthors, hereby agree to transfer to Studia Universitatis Babeș-Bolyai Mathematica all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the authors specifically retain: the authors can use the material however they want as long as it fits the NC ND terms of the license. The authors have all rights for reuse according to the license.
