P-Coretractable and Strongly P-Coretractable Modules
DOI:
https://doi.org/10.24203/ajas.v5i2.4714Keywords:
(strongly) coretractable modules, (strongly) P-coretractable, mono-coretractable, mono-P-coretractable, purely-RickartAbstract
In this paper, we introduce the notion of P-coretractable module . Some basic properties of this class of modules are investigated and some relationships between these modules and other related concepts are introduced . Also , we give the notion of strongly P-coretractable and study it comparison with P-coretractable , moreover the mono-P-coretractable concept are introduced and studied .References
Amini B. , Ershad M. , and Sharif H. , “Coretractable Modulesâ€, J. Aust. Math. Soc, vol. 86, no. 3, pp. 289–304, 2009.
Hadi I. , Al-aeashi S. ," Strongly Coretractable Modules and Related Concepts", Journal Of Advances In Mathematics , Vol. 12, No. 12 , Pp.6881-6888 . 2016 .
Fuller K.R., "Rings And Categories Of Modules", Springer, Newyork, 1982.
Fieldhous D.J., "Purity And Flatness", Ph.D. Thesis, McGill University, 1967 .
Azumaya G. and Faccini A., "Rings of pure global dimension zero and Mittag-leffler modules" , J. pure Appl. Algebra, 62 1989, 109 – 122
Lam T. Y., " Lectures on Modules and Rings " , (Springer, New York, 1999 .
Yaseen S. M., "Coquasi-Dedekind Modules", Ph.D. Thesis, University Of Baghdad , Baghdad,Iraq, 2003.
I.M.Ali Hadi and Sh. N. Al-aeashi," C- Coretractable Modules ", International Journal Of Pure and Applied Mathematics , to appear.
Al-Zubaidey Z. ,"On Purely Extending Modules", Msc.Thesis , Univ. of Baghdad , Iraq , 2005.
Yaseen S. M.,"On F-regular Modules",M. sc. Thesis, University of Baghdad, Iraq,1993.
Garib N.H.,"Some Generalizations Of Lifting Modules"Ph.D. Thesis, University Of Sulaimani ,Iraq, 2007.
Dangh N.V., Huynh D.V., Smith P.F. and Wisbauer R.,"Extending Modules" , Pitman Reseach Notes In Mathematics Series 313, Longman, New York 1994 .
Mijbass A.S.,"Quasi-Dedekind Modules ", Ph.D. Thesis, University of Baghdad , Iraq, 1997.
Al-Saadi S.A., Ibrahiem T.A.," Dual Purely Rickart Modules ", Journal of Mathematics, Vol.11, PP 12-19, 2015 .
Oneto A.V.,"Purity And Direct Summand ", Divulaciciones Matem , Aticas Vol. 4 No. 1/2 – 59-54 ,1996 .
Ozcan A. C., A. Harmanci and P. F. Smith " Duo Modules ", Glasgow Math. J. 48 (2006) 533–545.
Hadi I. , Al-aeashi S. ," Y-coretractable and Strongly Y-Coretractable Modules ", Asian Journal of Applied Sciences, Vol. 5, No. 2 , Pp.427-433 . 2017 .
Ghorbani A., "Co-Epi-Retractable Modules And Co-Pri-Rings", Comm. Algebra 38, No. 10, 3589-3596,(2010).
Lee G. "Theory Of Rickart Modules", Ph.D. Thesis , the Ohio State University, Ohio State, U.S.A(2010).
Al-Saadi S.A., Ibrahiem T.A.," Strongly Rickart Rings ", Mathematical Theory and Modeling , Vol.4, No.8,95-105, 2014
Downloads
Published
Issue
Section
License
Copyright © The Author(s). This article is published under the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
