ArticleOriginal scientific text

Title

An application of modules of generalized fractions to grades of ideals and Gorenstein rings

Authors 1

Affiliations

  1. Department of Mathematics, University for Teacher Education, 49 Mofateh Avenue, Tehran 15614, Iran

Bibliography

  1. H. Bass, On the ubiquity of Gorenstein rings, Math. Z. 82 (1963), 8-28.
  2. D. Flores de Chela, Flat dimensions of certain modules of generalized fractions, Quart. J. Math. Oxford Ser. (2) 36 (1985), 413-423.
  3. S. Greco, Anelli di Gorenstein, Sem. Ist. Mat., Genova, 1968.
  4. L. O'Carroll, On the generalized fractions of Sharp and Zakeri, J. London Math. Soc. (2) 28 (1983), 417-427.
  5. D. Rees, The grade of an ideal or module, Proc. Cambridge Philos. Soc. 53 (1957), 28-42.
  6. A. M. Riley, Complexes of modules of generalized fractions, thesis, University of Sheffield, 1983.
  7. R. Y. Sharp and H. Zakeri, Modules of generalized fractions, Mathematika 29 (1982), 32-41.
  8. R. Y. Sharp and H. Zakeri, Local cohomology and modules of generalized fractions, ibid., 296-306.
Pages:
281-288
Main language of publication
English
Received
1993-02-01
Accepted
1994-01-12
Published
1994
Exact and natural sciences