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n-Prüfer domains

Published online by Cambridge University Press:  17 April 2009

Sang Bum Lee
Sang Bum Lee
Affiliation:
Department of Mathematical Education, Sangmyung University, Seoul 110-743, Korea, e-mail: sblee@sangmyung.ac.kr
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Abstract

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We introduce n-Prüfer domains which axe generalisations of Prüfer domains and give several characterisations of them in terms of generalisations of purity, flatness and absolute purity.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 3 , December 2003 , pp. 423 - 430
Copyright
Copyright © Australian Mathematical Society 2003

References

[1]Fuchs, L. and Salce, L., Modules over valuation domains, Lecture Notes in pure and Applied Math. 97 (Marcel Dekker, New York, 1984).Google Scholar
[2]Fuchs, L. and Salce, L., Modules over non-Noetherian domains, Math. Surveys and Monographs 84 (Amer. Math. Society, Providence, R.I., 2001).Google Scholar
[3]Gilmer, R., Multiplicative ideal theory, Queens Papers Pure Appl. Math. 90 (Queens University, Kingston, ON, 1972).Google Scholar
[4]Lee, S.B., ‘n-coherent rings’, Comm. Algebra 30 (2002), 1119–1126.CrossRefGoogle Scholar
[5]Lee, S.B., ‘Semi-Baer modules over domains’, Bull. Austral. Math. Soc. 64 (2001), 21–26.CrossRefGoogle Scholar
[6]Megibben, C., ‘Absolutely pure modules’, Proc. Amer. Math. Soc. 26 (1970), 561–566.CrossRefGoogle Scholar
[7]Rotman, J., An introduction to homological algebra (Academic Press, New York, 1979).Google Scholar
[8]Raynaud, M. and Gruson, L., ‘Critères de platitude et de projectivitè techniques de “platification” d'un module’, Invent. Math. 13 (1971), 1–89.CrossRefGoogle Scholar
[9]Sabbagh, G., ‘Coherence of polynomial rings and bounds in polynomial ideals’, J. Algebra 31 (1974), 499–507.CrossRefGoogle Scholar