Research Article
Year 2019,
Volume: 16 Issue: 2, 10 - 15, 01.11.2019
Abstract
References
- M. S .Abbass, On fully stable modules , Ph.D. Thesis, University of Baghdad, 1991.
- 2. W. Anderson and K.R. Fuller, Rings and Categories of Modules, Springer-Verlag, New York-Heidelberg-Berlin, 1974.
- 3. H. Ansari-Toroghy and F. Farshadifar, The dual notion of multiplication modules, TaiwaneseJ. Math. 11 (4) (2007), 1189–1201.
- 4. H. Ansari-Toroghy and F. Farshadifar, Strong comultiplication modules, CMU. J. Nat. Sci. 8(1) (2009), 105–113.
- 5. H. Ansari-Toroghy and F. Farshadifar, Fully idempotent and coidempotent modules, Bull.Iranian Math. Soc. 38 (4 ) (2012), 987-1005.
- 6. A. Barnard, Multiplication modules, J. Algebra 71 (1981), 174–178.
- 7. C. Faith, Rings whose modules have maximal submodules, Publ. Mat. 39 (1995), 201-214.
- 8. Adil G. Naoum and Bahar H. Al-Bahraany, Modules with the pure sum property, Iraqi J. Sci.,43 (3) (2002), 39-51.
- 9. R. Y. Sharp, Step in commutative algebra, Cambridge University Press, 1990.
- 10. R. Wisbauer, Foundations of Modules and Rings Theory, Gordon and Breach, Philadelphia,PA, 1991.
Year 2019,
Volume: 16 Issue: 2, 10 - 15, 01.11.2019
Abstract
Let
M be a module over a commutative ring R with identity. A
submodule K of M is copure provided that (K :M I) = K + (0 :M I) for
each ideal I of R. In this paper, we investigate some results
about copure submodules of M.
References
- M. S .Abbass, On fully stable modules , Ph.D. Thesis, University of Baghdad, 1991.
- 2. W. Anderson and K.R. Fuller, Rings and Categories of Modules, Springer-Verlag, New York-Heidelberg-Berlin, 1974.
- 3. H. Ansari-Toroghy and F. Farshadifar, The dual notion of multiplication modules, TaiwaneseJ. Math. 11 (4) (2007), 1189–1201.
- 4. H. Ansari-Toroghy and F. Farshadifar, Strong comultiplication modules, CMU. J. Nat. Sci. 8(1) (2009), 105–113.
- 5. H. Ansari-Toroghy and F. Farshadifar, Fully idempotent and coidempotent modules, Bull.Iranian Math. Soc. 38 (4 ) (2012), 987-1005.
- 6. A. Barnard, Multiplication modules, J. Algebra 71 (1981), 174–178.
- 7. C. Faith, Rings whose modules have maximal submodules, Publ. Mat. 39 (1995), 201-214.
- 8. Adil G. Naoum and Bahar H. Al-Bahraany, Modules with the pure sum property, Iraqi J. Sci.,43 (3) (2002), 39-51.
- 9. R. Y. Sharp, Step in commutative algebra, Cambridge University Press, 1990.
- 10. R. Wisbauer, Foundations of Modules and Rings Theory, Gordon and Breach, Philadelphia,PA, 1991.
There are 10 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Research Article |
| Authors | |
| Publication Date | November 1, 2019 |
| Published in Issue | Year 2019 Volume: 16 Issue: 2 |