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Idealizations of pseudo Buchsbaum modules over a pseudo Buchsbaum ring

Nguyen Thi Hong Loan|Nong Quoc Chinh
대한수학회 (The Korean Mathematical Society)|2013.09|대한수학회보 (Bulletin of the KMS)|제50권 제5호|pp. 1523-1530

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참고문헌

키워드

idealizationBuchsbaum modulespseudo Buchsbaum modules
주제분류수학

초록

Let (A,m) be a Noetherian local ring and M a finitely gener- ated A-module. The notion of pseudo Buchsbaum module was introduced in [3] as an extension of that of Buchsbaum module. In this paper, we give a condition for the idealization A⋉M of M over A to be pseudo Buchsbaum.

Abstract

Let (A,m) be a Noetherian local ring and M a finitely gener- ated A-module. The notion of pseudo Buchsbaum module was introduced in [3] as an extension of that of Buchsbaum module. In this paper, we give a condition for the idealization A⋉M of M over A to be pseudo Buchsbaum.

참고문헌 (13)

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  2. N. T. Cuong, "On certain length functions associated to a system of parameters in local rings", Vietnam J. Math, 27(3), pp.259~272 (1999)
  3. N. T. Cuong, "A characterization for pseudo Buchsbaum module", Japan. J. Math, 30(1), pp.165~181 (2004)
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  5. N. T. Cuong, "Lengths of generalized fractions of modules having small polynomial type", Math. Proc. Cambridge Philos. Soc, 128(2), pp.269~282 (2000)
  6. N. T. Cuong, "On the length of generalized fractions", J. Algebra, 265(1), pp.100~113 (2003)
  7. N. T. Cuong, "Pseudo Cohen Macaulay and pseudo generalized Cohen Macaulay modules", J. Algebra, 267(1), pp.156~177 (2003)
  8. S. Goto, "The theory of unconditioned strong d-sequences and modules of finite local cohomology", Preprint, ~ (1986)
  9. M. Hochster, "Contraced ideals from integral extensions of regular rings", Nagoya Math. J, 51, pp.25~43 (1973)
  10. M. Nagata, "Local Rings, Interscience Tracts in Pure and Applied Mathematics, No. 13" (1962), Interscience Publishers a division of John Wiley & Sons
  11. I. Reiten, "The converse to a theorem of Sharp on Gorenstein modules", Proc. Amer. Math. Soc, 32, pp.417~420 (1972)
  12. R. Y. Sharp, "Lengths of certain generalized fractions", J. Pure Appl. Algebra, 38(2), pp.323~336 (1985)
  13. K. Yamagishi, "Idealizations of maximal Buchsbaum modules over a Buchsbaum ring", Math. Proc. Cambridge Philos. Soc, 104(3), pp.451~478 (1988)

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