Advanced search
Publication Cover
Communications in Algebra Volume 31, 2003 - Issue 7
Submit an article Journal homepage
148
Views
42
CrossRef citations to date
0
Altmetric
Original Articles

Clean Semiprime f-Rings with Bounded Inversion

Warren Wm. McGovern Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio, USA; Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH, 43403, USACorrespondence[email protected]
Pages 3295-3304 | Received 01 Mar 2002, Published online: 31 Aug 2006

References

  • Anderson , D. D. and Camillo , V. 2002 . Commutative rings whose elements are a sum of a unit and an idempotent . Comm. Algebra , 30 ( 7 ) : 3327 – 3336 .
  • Bella , A. , Hager , A. , Martinez , J. , Woodward , S. and Zhou , Y. 1996 . Specker spaces and their absolutes . I. Top. Appl. , 72 : 259 – 271 .
  • Bigard , A. , Keimel , K. and Wolfenstein , S. 1977 . Groupes et Anneaux Riticuls , Lecture Notes in Mathematics Vol. 608 , Springer-Verlag .
  • Brookshear , J. G. 1978 . On projective prime ideals in C(X) . Proc. Amer. Math. Soc. , 69 : 203 – 204 .
  • Camillo , V. P. and Yu , H. 1994 . Exchange rings,units and idempotents . Comm. Algebra , 22 ( 12 ) : 4737 – 4749 .
  • Darnel , M. 1995 . Theory of Lattice-Ordered Groups , Monographs and Textbooks in Pure and Applied Mathematics Vol. 187 , New York : Marcel Dekker,Inc. .
  • De Marco , G. 1983 . Projectivity of pure ideals . Rend. Sem. Mat. Univ. Padova , 68 : 289 – 304 .
  • Endo , S. 1960 . Note on p.p. rings (a supplement to Hattori's paper) . Nagoya Math. J. , 17 : 167 – 170 .
  • Gillman , L. and Jerrison , M. 1960 . Rings of Continuous Functions , The University Series in Higher Mathematics Princeton : D. Van Nostrand .
  • Glaz , S. 1989 . Commutative Coherent Rings , Lecture Notes in Mathematics Vol. 1371 , New York : Springer-Verlag .
  • Henriksen , M. , Isbell , J. and Johnson , D. 1961 . Residue class fields of lattice ordered algebras . Fund. Math. , 50 : 107 – 117 .
  • Martinez , J. and Woodward , S. 1996 . Specker spaces and their absolutes . Algebra Universalis , 35 ( 3 ) : 333 – 341 .
  • Neville , C. 1990 . When is C(X) a coherent ring . Proc. Amer. Math. Soc. , 110 ( 2 ) : 505 – 508 .
  • Nicholson , W. K. 1977 . Lifting idempotents and exchange rings . Trans. Amer. Math. Soc. , 229 : 269 – 278 .
  • Porter , J. and Woods , G. 1988 . Extensions and Absolutes of Hausdorff Spacers New York : Springer-Verlag .
  • Woodward , S. 1993 . “ A characterization of local-global f-rings ” . In Ordered Algebraic Structures (Gainesville,FL,1991) 235 – 235 . Dordrecht : Kluwer Academic Publisher .

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.