Advanced search
Publication Cover
Communications in Algebra Volume 35, 2007 - Issue 12
Submit an article Journal homepage
113
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Weak Global Dimension of Coherent Rings

Lixin Mao Department of Mathematics, Nanjing University, Nanjing, China; Institute of Mathematics, Nanjing Institute of Technology, Nanjing, China
&
Nanqing Ding Department of Mathematics, Nanjing University, Nanjing, ChinaCorrespondence[email protected]
Pages 4319-4327 | Received 09 Jul 2006, Published online: 13 Dec 2007

REFERENCES

  • Asensio Mayor , J. , Martínez Hernández , J. ( 1993 ). On flat and projective envelopes . J. Algebra 160 : 434 – 440 .
  • Cheatham , T. J. , Stone , D. R. ( 1981 ). Flat and projective character modules . Proc. Amer. Math. Soc. 81 ( 2 ): 175 – 177 .
  • Chen , J. L. , Ding , N. Q. ( 1996 ). A note on existence of envelopes and covers . Bull. Austral. Math. Soc. 54 : 383 – 390 .
  • Colby , R. R. ( 1975 ). Rings which have flat injective modules . J. Algebra 35 : 239 – 252 .
  • Ding , N. Q. ( 1996 ). On envelopes with the unique mapping property . Comm. Algebra 24 ( 4 ): 1459 – 1470 .
  • Enochs , E. E. ( 1981 ). Injective and flat covers, envelopes and resolvents . Israel J. Math. 39 : 189 – 209 .
  • Enochs , E. E. , Jenda , O. M. G. ( 1985 ). Balanced functors applied to modules . J. Algebra 92 : 303 – 310 .
  • Enochs , E. E. , Jenda , O. M. G. ( 1991 ). Resolvents and dimensions of modules and rings . Arch. Math. 56 : 528 – 532 .
  • Enochs , E. E. , Jenda , O. M. G. ( 2000 ). Relative Homological Algebra . Berlin-New York : Walter de Gruyter .
  • Fieldhouse , D. J. ( 1972 ). Character modules, dimension and purity . Glasgow Math. J. 13 : 144 – 146 .
  • Göbel , R. , Trlifaj , J. ( 2006 ). Approximations and Endomorphism Algebras of Modules . GEM 41 . Berlin-New York : Walter de Gruyter .
  • Jenda , O. M. G. ( 1986 ). Injective and flat dimensions . Math. Japonica 31 ( 2 ): 205 – 209 .
  • Jones , M. F. , Teply , M. L. ( 1982 ). Coherent rings of finite weak global dimension . Comm. Algebra 10 ( 5 ): 493 – 503 .
  • Matlis , E. (1982). Commutative coherent rings. Canad. J. Math. 34(6):1240–1244.
  • Megibben , C. ( 1970 ). Absolutely pure modules . Proc. Amer. Math. Soc. 26 : 561 – 566 .
  • Pinzon , K. R. ( 2005 ). Absolutely Pure Modules. University of Kentucky, Thesis .
  • Rada , J. , Saorin , M. ( 1998 ). Rings characterized by (pre)envelopes and (pre)covers of their modules . Comm. Algebra 26 ( 3 ): 899 – 912 .
  • Rotman , J. J. ( 1979 ). An Introduction to Homological Algebra . New York : Academic Press .
  • Stenström , B. ( 1970 ). Coherent rings and FP-injective modules . J. London Math. Soc. 2 : 323–329.
  • Xu , J. ( 1996 ). Flat Covers of Modules . Lecture Notes in Math. 1634 . Berlin-Heidelberg-New York : Springer-Verlag .
  • Communicated by I. Swanson.

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.