참고문헌
- H. Ananthnarayan, L. Avramov, and W. Frank Moore, Connected sums of Gorenstein local rings, arXiv: 1005.1304v2 [math.AC] 10 Feb 2011.
- Y. Aoyama, Some basic results on canonical modules, J. Math. Kyoto Univ. 23 (1983), no. 1, 85-94. https://doi.org/10.1215/kjm/1250521612
- Y. Aoyama and S. Goto, On the endomorphism ring of the canonical module, J. Math. Kyoto Univ. 25 (1985), no. 1, 21-30. https://doi.org/10.1215/kjm/1250521156
- A. Bagheri, M. Salimi, E. Tavasoli, and S. Yassemi, A construction of quasi-Gorenstein rings, J. Algebra Appl, to appear.
- W. Bruns and J. Herzog, Cohen-Macaulay Rings, Cambridge University press, Cambridge, 1993.
- M. D'Anna, A construction of Gorenstein rings, J. Algebra 306 (2006), no. 2, 507-519. https://doi.org/10.1016/j.jalgebra.2005.12.023
- M. D'Anna, C. A. Finocchiaro, and M. Fontana, Amalgamated algebras along an ideal, Commutative algebra and its applications, 155-172, Walter de Gruyter, Berlin, 2009.
- M. D'Anna and M. Fontana, An amalgamated duplication of a ring along an ideal, J. Algebra Appl. 6 (2007), no. 3, 443-459. https://doi.org/10.1142/S0219498807002326
- S. Goto, Approximately Cohen-Macaulay rings, J. Algebra 76 (1982), no. 1, 214-225. https://doi.org/10.1016/0021-8693(82)90248-4
- M. Hochster, Cyclic purity versus purity in excellent Noetherian ringss, Trans. Amer. Math. Soc. 231 (1977), no. 2, 463-488. https://doi.org/10.1090/S0002-9947-1977-0463152-5
- H. Matsumura, Commutative Ring Theory, second ed., Studies in Advanced Mathemetics, vol.8, University Press, Cambridge, 1989.
- E. Platte and U. Storch, Invariante regulare Differential-formen auf Gorenstein-Algebren, Math. Z. 157 (1997), no. 1, 1-11.
- M. R. Pournaki, M . Tousi, and S. Yassemi, Tensor products of approximately Cohen-Macaulay rings, Comm. Algebra 34 (2006), no. 8, 2857-2866. https://doi.org/10.1080/00927870600637116
- S. Yassemi, On at and injective dimension, Ital. J. Pure Appl. Math. No. 6 (1999), 33-41.
피인용 문헌
- Family of quotients of some special rings pp.1793-6829, 2018, https://doi.org/10.1142/S021949881850233X
- Some properties of a family of quotients of the Rees algebra pp.1793-6829, 2018, https://doi.org/10.1142/S0219498819501135