Geodesic
CS-Rickart modules
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2014), pp. 59-63.

Voir la notice de l'article provenant de la source Math-Net.Ru

We introduce a notion of CS-Rickart module being a modular analog of the ACS-ring concept. We describe the rings over which each finitely generated projective module is CS-Rickart module. The presented results yield the known results related to Rickart modules and semihereditary rings.
Keywords: CS-Rickart modules, Rickart modules, ACS-rings, semihereditary rings. 
@article{IVM_2014_5_a5,
     author = {A. N. Abyzov and Tran Hoai Ngoc Nhan},
     title = {CS-Rickart modules},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {59--63},
     publisher = {mathdoc},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_5_a5/}
}
TY  - JOUR
AU  - A. N. Abyzov
AU  - Tran Hoai Ngoc Nhan
TI  - CS-Rickart modules
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2014
SP  - 59
EP  - 63
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2014_5_a5/
LA  - ru
ID  - IVM_2014_5_a5
ER  - 
%0 Journal Article
%A A. N. Abyzov
%A Tran Hoai Ngoc Nhan
%T CS-Rickart modules
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2014
%P 59-63
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2014_5_a5/
%G ru
%F IVM_2014_5_a5
A. N. Abyzov; Tran Hoai Ngoc Nhan. CS-Rickart modules. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2014), pp. 59-63. http://geodesic.mathdoc.fr/item/IVM_2014_5_a5/

[1] Lee Gangyong, Rizvi S. Tariq, Roman Cosmin S., “Rickart modules”, Communications in Algebra, 38:11 (2010), 4005–4027 | DOI | MR | Zbl

[2] Lee Gangyong, Rizvi S. Tariq, Roman Cosmin S., “Direct sums of Rickart modules”, J. Algebra, 353:1 (2012), 62–78 | DOI | MR | Zbl

[3] Lee Gangyong, Rizvi S. Tariq, Roman Cosmin S., “Dual Rickart modules”, Communications in Algebra, 39:11 (2011), 4036–4058 | DOI | MR | Zbl

[4] Nicholson W. K., Yousif M. F., “Weakly continous and $C_2$ rings”, Communications in Algebra, 29:6 (2001), 2429–2446 | DOI | MR | Zbl

[5] Li Wenxi, Chen Jianlong, “When CF rings are Artinian”, J. Algebra and its Appl., 12:4 (2013), Paper No 1250059, 7 pp. | MR | Zbl

[6] Zeng Qingyi, “Some examples of ACS-rings”, Vietnam J. Math., 35:1 (2007), 11–19 | MR | Zbl

[7] Clark J., Lomp C., Vanaja N., Wisbauer R., Lifting modules. Supplements and projectivity in module theory, Frontiers in Mathematics, Birkhäuser, Basel–Boston–Berlin, 2006 | MR | Zbl

[8] Wisbauer R., Foundations of module and ring theory, A handbook for study and research, Gordon and Breach Science Publishers, Reading, 1991 | MR | Zbl