Research Article
Year 2020,
Volume: 2 Issue: 2, 92 - 97, 26.08.2020
Abstract
References
- Referans1 J. Clark, C. Lomp, N. Vanaja, and R. Wisbauer, Lifting modules supplements and projectivity in module theory, Frontiers in Mathematics, Birkhauser Basel, 2006.
- Referans2 A.Ç Ozcan, A. Harmancı, and P.F. Smith, Duo modules, Glasgow Mathematical Journal 48 (2006), 533-545.
- Referans3 S. H. Mohamed and B. J. Müller, Continuous and discrete modules, London Math. Soc. LNS 147 Cambridge University, Cambridge, 1990.
- Referans4 R. Wisbauer, Foundations of modules and rings theory , Gordon and Breach, 1991.
- Referans5 R. Wisbauer, Modules and algebras: bimodule structure and group actions on algebras, Pitman Monographs and Surveys in Pure and Applied Mathematics81, 1996.
- Referans6 H. Zoschinger, Komplementierte moduln uber Dedekindringen, J. Algebra 29 (1974), 42-56.
Year 2020,
Volume: 2 Issue: 2, 92 - 97, 26.08.2020
Abstract
In this article, we define the concept of (strongly) coatomic refinable modules as a proper generalization of (strongly) refinable modules. It is shown that: (1) every direct summand of a coatomic refinable module is coatomic refinable; (2) over a left max ring a module M is (strongly) coatomic refinable if and only if it is (strongly) refinable; (3) if a coatomic refinable module M is π-projective, then it is strongly coatomic refinable; (4) if coatomic direct summands lift modulo every coatomic submodule of M, then M is coatomic refinable.
References
- Referans1 J. Clark, C. Lomp, N. Vanaja, and R. Wisbauer, Lifting modules supplements and projectivity in module theory, Frontiers in Mathematics, Birkhauser Basel, 2006.
- Referans2 A.Ç Ozcan, A. Harmancı, and P.F. Smith, Duo modules, Glasgow Mathematical Journal 48 (2006), 533-545.
- Referans3 S. H. Mohamed and B. J. Müller, Continuous and discrete modules, London Math. Soc. LNS 147 Cambridge University, Cambridge, 1990.
- Referans4 R. Wisbauer, Foundations of modules and rings theory , Gordon and Breach, 1991.
- Referans5 R. Wisbauer, Modules and algebras: bimodule structure and group actions on algebras, Pitman Monographs and Surveys in Pure and Applied Mathematics81, 1996.
- Referans6 H. Zoschinger, Komplementierte moduln uber Dedekindringen, J. Algebra 29 (1974), 42-56.
There are 6 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Articles |
| Authors | |
| Publication Date | August 26, 2020 |
| Published in Issue | Year 2020 Volume: 2 Issue: 2 |
