Research Article
BibTex RIS Cite

ON α -QUASI SHORT MODULES

Year 2017, , 91 - 102, 17.01.2017
https://doi.org/10.24330/ieja.296105

Abstract


We introduce and study the concept of α-quasi short modules.

References

  • [1] T. Albu and S. T. Rizvi,Chain conditions on quotient finite dimensional modules
  • , Comm. Algebra, 29(5) (2001), 1909-1928.
  • [2] T. Albu and P. F. Smith,Dual Krull dimension and duality, Rocky Mountain
  • J. Math., 29(4) (1999), 1153-1165.
  • [3] T. Albu and P. Vamos,Global Krull dimension and global dual Krull dimension of valuation rings
  • , Abelian groups, module theory, and topology (Padua, 1997),
  • Lecture Notes in Pure and Appl. Math., 201, Dekker, New York, (1998), 37-54.
  • [4] G. Bilhan and P. F. Smith, Short modules and almost Noetherian modules,
  • Math. Scand., 98(1) (2006), 12-18.
  • [5] L. Chambless, N-Dimension and N-critical modules, application to Artinian
  • modules, Comm. Algebra, 8(16) (1980), 1561-1592.
  • [6] M. Davoudian, Dimension of non-finitely generated submodules, Vietnam J. Math., 44(4) (2016), 817-827.
  • [7] M. Davoudian and O. A. S. Karamzadeh, Artinian serial modules over com-
  • mutative (or, left Noetherian) rings are at most one step away from being
  • Noetherian, Comm. Algebra, 44(9) (2016), 3907-3917.
  • [8] M. Davoudian, O. A. S. Karamzadeh and N. Shirali, On α-short modules,
  • Math. Scand., 114(1) (2014), 26-37.
  • [9] R. Gordon, Gabriel and Krull dimension, Ring theory (Proc. Conf., Univ.
  • Oklahoma, Norman, Okla., 1973), 241-295, Lecture Notes in Pure and Appl. Math., 7, Dekker, New York, 1974.
Year 2017, , 91 - 102, 17.01.2017
https://doi.org/10.24330/ieja.296105

Abstract

References

  • [1] T. Albu and S. T. Rizvi,Chain conditions on quotient finite dimensional modules
  • , Comm. Algebra, 29(5) (2001), 1909-1928.
  • [2] T. Albu and P. F. Smith,Dual Krull dimension and duality, Rocky Mountain
  • J. Math., 29(4) (1999), 1153-1165.
  • [3] T. Albu and P. Vamos,Global Krull dimension and global dual Krull dimension of valuation rings
  • , Abelian groups, module theory, and topology (Padua, 1997),
  • Lecture Notes in Pure and Appl. Math., 201, Dekker, New York, (1998), 37-54.
  • [4] G. Bilhan and P. F. Smith, Short modules and almost Noetherian modules,
  • Math. Scand., 98(1) (2006), 12-18.
  • [5] L. Chambless, N-Dimension and N-critical modules, application to Artinian
  • modules, Comm. Algebra, 8(16) (1980), 1561-1592.
  • [6] M. Davoudian, Dimension of non-finitely generated submodules, Vietnam J. Math., 44(4) (2016), 817-827.
  • [7] M. Davoudian and O. A. S. Karamzadeh, Artinian serial modules over com-
  • mutative (or, left Noetherian) rings are at most one step away from being
  • Noetherian, Comm. Algebra, 44(9) (2016), 3907-3917.
  • [8] M. Davoudian, O. A. S. Karamzadeh and N. Shirali, On α-short modules,
  • Math. Scand., 114(1) (2014), 26-37.
  • [9] R. Gordon, Gabriel and Krull dimension, Ring theory (Proc. Conf., Univ.
  • Oklahoma, Norman, Okla., 1973), 241-295, Lecture Notes in Pure and Appl. Math., 7, Dekker, New York, 1974.
There are 19 citations in total.

Details

Subjects Mathematical Sciences
Journal Section Articles
Authors

Maryam Davoudian This is me

Publication Date January 17, 2017
Published in Issue Year 2017

Cite

APA Davoudian, M. (2017). ON α -QUASI SHORT MODULES. International Electronic Journal of Algebra, 21(21), 91-102. https://doi.org/10.24330/ieja.296105
AMA Davoudian M. ON α -QUASI SHORT MODULES. IEJA. January 2017;21(21):91-102. doi:10.24330/ieja.296105
Chicago Davoudian, Maryam. “ON α -QUASI SHORT MODULES”. International Electronic Journal of Algebra 21, no. 21 (January 2017): 91-102. https://doi.org/10.24330/ieja.296105.
EndNote Davoudian M (January 1, 2017) ON α -QUASI SHORT MODULES. International Electronic Journal of Algebra 21 21 91–102.
IEEE M. Davoudian, “ON α -QUASI SHORT MODULES”, IEJA, vol. 21, no. 21, pp. 91–102, 2017, doi: 10.24330/ieja.296105.
ISNAD Davoudian, Maryam. “ON α -QUASI SHORT MODULES”. International Electronic Journal of Algebra 21/21 (January 2017), 91-102. https://doi.org/10.24330/ieja.296105.
JAMA Davoudian M. ON α -QUASI SHORT MODULES. IEJA. 2017;21:91–102.
MLA Davoudian, Maryam. “ON α -QUASI SHORT MODULES”. International Electronic Journal of Algebra, vol. 21, no. 21, 2017, pp. 91-102, doi:10.24330/ieja.296105.
Vancouver Davoudian M. ON α -QUASI SHORT MODULES. IEJA. 2017;21(21):91-102.

Cited By

Dimension of Non-small Submodules
Bulletin of the Iranian Mathematical Society
Maryam Davoudian
https://doi.org/10.1007/s41980-019-00229-z