Year 2020, Volume 8 , Issue 1, Pages 46 - 50 2020-03-20

On M-injective and M-projective Modules

Yusuf ALAGÖZ [1]


In this study, the concept of m-projective modules is introduced. A right R-module M is said to be m-projective if Ext(M,N)=0 for any m-injective right R-module N. We prove that every right R-module has a special m-projective precover and m-injective preenvelope. We characterize C-rings, SF-rings and max-hereditary rings using m-projective and m-injective modules. 

m-injective modules; m-projective modules; max-hereditary rings.
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Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0002-2535-4679
Author: Yusuf ALAGÖZ (Primary Author)
Institution: siirt üniversitesi
Country: Turkey


Dates

Publication Date : March 20, 2020

Bibtex @research article { mathenot630031, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2020}, volume = {8}, pages = {46 - 50}, doi = {10.36753/mathenot.630031}, title = {On M-injective and M-projective Modules}, key = {cite}, author = {ALAGÖZ, Yusuf} }
APA ALAGÖZ, Y . (2020). On M-injective and M-projective Modules. Mathematical Sciences and Applications E-Notes , 8 (1) , 46-50 . DOI: 10.36753/mathenot.630031
MLA ALAGÖZ, Y . "On M-injective and M-projective Modules". Mathematical Sciences and Applications E-Notes 8 (2020 ): 46-50 <https://dergipark.org.tr/en/pub/mathenot/issue/53229/630031>
Chicago ALAGÖZ, Y . "On M-injective and M-projective Modules". Mathematical Sciences and Applications E-Notes 8 (2020 ): 46-50
RIS TY - JOUR T1 - On M-injective and M-projective Modules AU - Yusuf ALAGÖZ Y1 - 2020 PY - 2020 N1 - doi: 10.36753/mathenot.630031 DO - 10.36753/mathenot.630031 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 46 EP - 50 VL - 8 IS - 1 SN - -2147-6268 M3 - doi: 10.36753/mathenot.630031 UR - https://doi.org/10.36753/mathenot.630031 Y2 - 2019 ER -
EndNote %0 Mathematical Sciences and Applications E-Notes On M-injective and M-projective Modules %A Yusuf ALAGÖZ %T On M-injective and M-projective Modules %D 2020 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 8 %N 1 %R doi: 10.36753/mathenot.630031 %U 10.36753/mathenot.630031
ISNAD ALAGÖZ, Yusuf . "On M-injective and M-projective Modules". Mathematical Sciences and Applications E-Notes 8 / 1 (March 2020): 46-50 . https://doi.org/10.36753/mathenot.630031
AMA ALAGÖZ Y . On M-injective and M-projective Modules. Math. Sci. Appl. E-Notes. 2020; 8(1): 46-50.
Vancouver ALAGÖZ Y . On M-injective and M-projective Modules. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 50-46.