Direct sums of quasi-Baer modules
| Autor: | Gangyong Lee, S. Tariq Rizvi |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Mathematics::Rings and Algebras 010102 general mathematics Mathematics::General Topology 0102 computer and information sciences Characterization (mathematics) 01 natural sciences Flat module Algebra Mathematics::Logic Mathematics::Group Theory 010201 computation theory & mathematics Projective module 0101 mathematics Endomorphism ring Simple module Mathematics |
| Zdroj: | Journal of Algebra. 456:76-92 |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2016.01.039 |
| Popis: | While the research work on quasi-Baer rings has been quite extensive in existing literature, the study of quasi-Baer modules introduced in 2004 remains quite limited with only little work available on the notion. In this paper, we extend the study of quasi-Baer modules. A characterization of a quasi-Baer module in terms of its endomorphism ring is obtained. We provide a complete characterization of arbitrary direct sums of quasi-Baer modules to be quasi-Baer. We also show characterizations of some important properties of quasi-Baer modules. Examples which delineate the concepts and the results are provided. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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