Non-Cohen-Macaulay Locus and Non Generalized Cohen-Macaulay Locus

REFERENCES

• An , T. N. ( 2013 ). On the attached primes and shifted localization principle for local cohomology modules, Algebra Colloquium , 20 : 671 – 680 .
   Google Scholar
• Brodmann , M. , Sharp , R. Y. ( 1998 ). Local cohomology: an Algebraic Introduction with Geometric Applications . Cambridge University Press .
   Google Scholar
• Brodmann , M. , Sharp , R. Y. ( 2002 ). On the dimension and multiplicity of local cohomology modules . Nagoya Math. J. 167 : 217 – 233 .
   Web of Science ®Google Scholar
• Cuong , N. T. ( 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 : 105 – 114 .
   Web of Science ®Google Scholar
• Cuong , N. T. , Cuong D. T. , Truong H. L. ( 2010 ). On a new invariant of finitely generated modules over local rings . J. Algebra Its Appl. 9 : 959 – 976 .
   Web of Science ®Google Scholar
• Cuong , N. T. , Nhan , L. T. ( 2003 ). On pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules . J. Algebra 267 : 156 – 177 .
   Web of Science ®Google Scholar
• Cuong , N. T. , Nhan , L. T. ( 2002 ). On the noetherian dimension of artinian modules . Vietnam J. Math. 30 : 121 – 130 .
   Google Scholar
• Cuong , N. T. , Nhan , L. T. , Nga , N. T. K. ( 2010 ). On pseudo supports and non-Cohen-Macaulay locus of finitely generateg modules . J. Algebra 323 : 3029 – 3038 .
   Web of Science ®Google Scholar
• Dibaei M. T. , Jafari , R. ( 2011 ). Cohen-Macaulay loci of modules . Comm. Algebra 39 : 3681 – 3697 .
   Web of Science ®Google Scholar
• Ferrand , D. , Raynaud , M. ( 1970 ). Fibres formelles d'un anneau local Noetherian . Ann. Sci. E'cole Norm. Sup. 3 : 295 – 311 .
   Google Scholar
• Macdonald , I. G. ( 1973 ). Secondary representation of modules over a commutative ring . Symposia Mathematica 11 : 23 – 43 .
   Google Scholar
• Matsumura , H. ( 1986 ). Commutative Ring Theory . Cambridge University Press .
   Google Scholar
• Schenzel , P. ( 1998 ). On the dimension filtration and Cohen-Macaulay filtered modules . In: Proc. of the Ferrara meeting in honour of Mario Fiorentini , University of Antwerp Wilrijk , Belgium , 245 – 264 .
   Google Scholar
• Stanley , R. P. ( 1996 ). Combinatorics and Commutative Algebra , Second edition , Birkhäuser Boston-Basel-Berlin .
   Google Scholar
• Communicated by G. Leugchke.
   Google Scholar