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

• Autorzy: H. Zakeri
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1994
• Tom: 67
• Numer: 2
• Strony: 281-288

Daty

wydano

1994

otrzymano

1993-02-01

poprawiono

1994-01-12

Twórcy

autor

H. Zakeri

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

Bibliografia

• [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.