Advanced search
Publication Cover
Communications in Algebra Volume 47, 2019 - Issue 1
Submit an article Journal homepage
127
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Generalizations of projectivity and supplements revisited for superfluous ideals

Peter KálnaiDepartment of Algebra, Univerzita Karlova, Prague, Czech RepublicCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-1130-9180View further author information
ORCID Icon
Pages 88-100 | Received 12 Mar 2017, Accepted 08 Apr 2018, Published online: 15 Nov 2018

References

  • Lazard, D. (1969). Autour de la platitude. Bul. Soc. Math. France. 79:81–128.
  • Gerasimov, V., Sakhaev, I. (1985). A counterexample to two conjectures on projective and flat modules. Sib. Math. J. 25(6):855–859.
  • Dubrovin, N., Příhoda, P., Puninski, G. (2008). Projective modules over the Gerasimov-Sakhaev counterexample. J. Algebra. 319(8):3259–3279.
  • Alkan, M., Nicholson, W. K., Özcan, A. Ç. (2008). A generalization of projective covers. J. Algebra. 319(12):4947–4960.
  • Mohammed, A., Sandomierski, F. L. (1989). Complements in projective modules. J. Algebra. 127(1):206–217.
  • Izurdiaga, M. C. (2004). Supplement submodules and generalization of projective modules. J. Algebra. 277(2):689–702.
  • Zöschinger, H. (1981). Projektive moduln mit endlich erzeugten radikalfaktormodul. Math. Ann. Ann. 255(2):199–206.
  • Krempa, J. (1972). Logical connections between some open problems concerning nil rings. Fund. Math. 76(2):121–130.
  • Alkan, M., Nicholson, W. K., Özcan, A. Ç. (2011). Strong lifting splits. J. Pure Appl. Alg. 215(8):1879–1888.
  • Khurana, D., Gupta, R. N. (2001). Lifting idempotents and projective covers. Kyunpook Math. J. 41:217–227.
  • McConnell, J. C., Robson, J. C. (1973). Homomorphisms and extensions of modules over certain differential polynomial rings. J. Algebra. 26(2):319–342.
  • Facchini, A., Herbera, D., Sakhajev, I. (2005). Flat modules and lifting of finitely generated projective modules. Pacific J. Math. Math. 220(1):49–68.
  • Herbera, D., Příhoda, P. (2013). Infinitely generated projective modules over pullbacks of rings. Trans. Amer. Math. Soc. 366(3):1433–1454.
  • Nicholson, W. K., Zhou, Y. (2005). Strong lifting. J. Algebra. 285(2):795–818.
  • Diesl, J. A., Dittmer, S. J., Nielsen, P. P. (2016). Idempotent lifting and ring extensions. J. Algebra Appl. Appl. 15(06):1650112. pp.
  • Příhoda, P. (2007). Projective modules are determined by their radical factors. J. Pure Appl. Alg. 210(3):827–835.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.