Hệ tham số của môđun Muchsbaum
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Abstract
In this paper, we study the reducing system of parameters and Buchsbaum modules. Particularly, we show that all the parameter systems of Buchsbaum modules are the reducing ones. Besides, we also introduce some examples of these modules.
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References
[1]. N. T. Cuong (1992), “On the least degree of polynomials bounding above the differences between lengths and multiplicities of certain systems of parameters in local rings”, Nagoya Math. J, (125), pp. 105-114.
[2]. S. Goto (1980), “On Buchsbaum rings”, J. Algebra , (67), pp. 272–279.
[3]. H. Matsumura (1986), Commutative ring theory, Cambridge studies in Adv. Math. 8, Cambridge university press, Cambridge, U.K.
[4]. B. Mäurer and J. Stückrad (2003), “Reducing system of parameters and the Cohen- Macaulay property”, Proc. Indian Acad. Sci (Math. Sci), (117), pp. 159-163.
[5]. Ngô Tấn Phúc (2010), Một số tính chất của hệ tham số thu gọn, Luận văn thạc sĩ Toán học, Trường Đại học Vinh.
[6]. J. Stückrad and W. Vogel (1986), Buchsbaum Rings and Applications, Springer-Verlag, Berlin-Heidelberg-New York.
[7]. N. V. Trung (1986), “Toward a theory of Generalized Cohen-Macaulay modules”, Nagoya Math. J, (102), pp. 1-49.
[2]. S. Goto (1980), “On Buchsbaum rings”, J. Algebra , (67), pp. 272–279.
[3]. H. Matsumura (1986), Commutative ring theory, Cambridge studies in Adv. Math. 8, Cambridge university press, Cambridge, U.K.
[4]. B. Mäurer and J. Stückrad (2003), “Reducing system of parameters and the Cohen- Macaulay property”, Proc. Indian Acad. Sci (Math. Sci), (117), pp. 159-163.
[5]. Ngô Tấn Phúc (2010), Một số tính chất của hệ tham số thu gọn, Luận văn thạc sĩ Toán học, Trường Đại học Vinh.
[6]. J. Stückrad and W. Vogel (1986), Buchsbaum Rings and Applications, Springer-Verlag, Berlin-Heidelberg-New York.
[7]. N. V. Trung (1986), “Toward a theory of Generalized Cohen-Macaulay modules”, Nagoya Math. J, (102), pp. 1-49.
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