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Year 2020, Volume 2, Issue 2, 92 - 97, 26.08.2020
https://doi.org/10.38058/ijsl.774962

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.

Coatomic refinable modules

Year 2020, Volume 2, Issue 2, 92 - 97, 26.08.2020
https://doi.org/10.38058/ijsl.774962

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.

Details

Primary Language English
Subjects Basic Sciences
Journal Section Research Articles
Authors

Burcu NİŞANCI TÜRKMEN>
AMASYA ÜNİVERSİTESİ
0000-0001-7900-0529
Türkiye


Ergül TÜRKMEN> (Primary Author)
AMASYA ÜNİVERSİTESİ
0000-0002-7082-1176
Türkiye

Publication Date August 26, 2020
Published in Issue Year 2020, Volume 2, Issue 2

Cite

Bibtex @research article { ijsl774962, journal = {International Journal of Science Letters}, eissn = {2687-4733}, address = {Amasya University, Central Research Laboratory, 05100 İpekköy-AMASYA}, publisher = {Amasya University}, year = {2020}, volume = {2}, number = {2}, pages = {92 - 97}, doi = {10.38058/ijsl.774962}, title = {Coatomic refinable modules}, key = {cite}, author = {Nişancı Türkmen, Burcu and Türkmen, Ergül} }
APA Nişancı Türkmen, B. & Türkmen, E. (2020). Coatomic refinable modules . International Journal of Science Letters , 2 (2) , 92-97 . DOI: 10.38058/ijsl.774962
MLA Nişancı Türkmen, B. , Türkmen, E. "Coatomic refinable modules" . International Journal of Science Letters 2 (2020 ): 92-97 <https://dergipark.org.tr/en/pub/ijsl/issue/56491/774962>
Chicago Nişancı Türkmen, B. , Türkmen, E. "Coatomic refinable modules". International Journal of Science Letters 2 (2020 ): 92-97
RIS TY - JOUR T1 - Coatomic refinable modules AU - BurcuNişancı Türkmen, ErgülTürkmen Y1 - 2020 PY - 2020 N1 - doi: 10.38058/ijsl.774962 DO - 10.38058/ijsl.774962 T2 - International Journal of Science Letters JF - Journal JO - JOR SP - 92 EP - 97 VL - 2 IS - 2 SN - -2687-4733 M3 - doi: 10.38058/ijsl.774962 UR - https://doi.org/10.38058/ijsl.774962 Y2 - 2020 ER -
EndNote %0 International Journal of Science Letters Coatomic refinable modules %A Burcu Nişancı Türkmen , Ergül Türkmen %T Coatomic refinable modules %D 2020 %J International Journal of Science Letters %P -2687-4733 %V 2 %N 2 %R doi: 10.38058/ijsl.774962 %U 10.38058/ijsl.774962
ISNAD Nişancı Türkmen, Burcu , Türkmen, Ergül . "Coatomic refinable modules". International Journal of Science Letters 2 / 2 (August 2020): 92-97 . https://doi.org/10.38058/ijsl.774962
AMA Nişancı Türkmen B. , Türkmen E. Coatomic refinable modules. IJSL. 2020; 2(2): 92-97.
Vancouver Nişancı Türkmen B. , Türkmen E. Coatomic refinable modules. International Journal of Science Letters. 2020; 2(2): 92-97.
IEEE B. Nişancı Türkmen and E. Türkmen , "Coatomic refinable modules", International Journal of Science Letters, vol. 2, no. 2, pp. 92-97, Aug. 2020, doi:10.38058/ijsl.774962