Rings that are almost Gorenstein

• Autores: Craig Huneke, Adela Vraciu
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 225, Nº 1, 2006, págs. 85-102
• Idioma: inglés
• DOI: 10.2140/pjm.2006.225.85
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• Resumen

  • We introduce classes of rings that are close to being Gorenstein and prove they arise naturally as specializations of rings of countable CM type. We study these rings in detail and, inter alia, generalize an old result of Teter characterizing Artinian rings that are Gorenstein rings modulo their socle.