On modules and rings having large absolute direct summands. (English) Zbl 1535.16001
Based on authors’ abstract: In this paper, the authors 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, where 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
Reviewer: Udhayakumar Ramalingam (Vellore)
MSC:
| 16D50 | Injective modules, self-injective associative rings |
| 16D60 | Simple and semisimple modules, primitive rings and ideals in associative algebras |
| 16D80 | Other classes of modules and ideals in associative algebras |
Keywords:
automorphism-invariant module; CS module; essentially injective; fully invariant submodule; (large) ADS module; (large) ADS ringReferences:
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