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Abstract
An ADS module is a direct sum of mutually injective modules, and an e-ADS module is a direct sum of mutually automorphism-invariant modules. In this paper, we introduce and study large ADS (LADS) modules that form a class of modules larger than ADS modules. An LADS module is a direct sum of mutually essentially injective modules. This result corresponds to the results of ADS and e-ADS modules.
Communicated by Toma Albu
Correction Statement
This article has been corrected with minor changes. These changes do not impact the academic content of the article.
Acknowledgments
The authors would like to express their special thanks to the referee for her/his careful corrections (in particular, for Proposition 4.2).
Additional information
Funding
Dao Thi Trang was supported by the Funds for Science and Technology Development of the Ministry of Education and Training under the project number B2023-CTT-04.