Almost Gorenstein rings – towards a theory of higher dimension

• Shiro Goto ^[1] ; Ryo Takahashi ^[2] ; Naoki Taniguchi ^[1]
  1. [1] Meiji University

     Meiji University

     Japón

     
  2. [2] Nagoya University

     Nagoya University

     Naka-ku, Japón

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 7 (July 2015), 2015, págs. 2666-2712
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.09.022
• Enlaces
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• Resumen

  • The notion of almost Gorenstein local ring introduced by V. Barucci and R. Fröberg for one-dimensional Noetherian local rings which are analytically unramified has been generalized by S. Goto, N. Matsuoka and T.T. Phuong to one-dimensional Cohen–Macaulay local rings, possessing canonical ideals. The present purpose is to propose a higher-dimensional notion and develop the basic theory. The graded version is also posed and explored.