A Class of Gorenstein Artin Algebras of Embedding Dimension Four

REFERENCES

• Artin , E. ( 1957 ). Interscience Tracts in Pure and Applied Math. Vol. 3 . London : Interscience .
   Google Scholar
• Brown , A. ( 1987 ). A structure theorem for a class of grade three perfect ideals . Journal of Algebra 105 : 308 – 327 .
   Web of Science ®Google Scholar
• Brown , A. ( 1984 ). A Structure Theorem for a Class of Grade Three Perfect Ideals. Ph.D. dissertation, Brandeis Univ. Waltham, Mass .
   Google Scholar
• Buchsbaum , D. , Eisenbud , D. ( 1973 ). Algebra structures for finite free resolutions, and some structure theorems for ideals of codmiension 3 . Amer. J. Math. 25 : 259 – 268 .
   Google Scholar
• Buchsbaum , D. , Eisenbud , D. ( 1977 ). What makes a complex exact? J. Algebra 99 : 447 – 485 .
   Google Scholar
• Eisenbud , D. ( 1994 ). Commutative Algebra with a View Toward Algebraic Geometry . Graduate Texts in Mathematics , Vol. 150 . Berlin , New York : Springer .
   Google Scholar
• El Khoury , S. ( 2007 ). A Class of Gorenstein Artin Algebras of Embedding Dimension Four. PhD dissertation, University of Missouri, Columbia, Missouri .
   Google Scholar
• Iarrobino , A. , Srinivasan , H. ( 2005 ). Artininan Gorenstein algebras of embedding dimension four: components of ℙ Gor (H) for H = (1, 4, 7,…, 1) . Journal of Pure and Applied Algebra 201 : 62 – 96 .
   Web of Science ®Google Scholar
• Kustin , A. , Miller , M. ( 1982 ). Structure theory for a class of grade four Gorenstein ideals . Trans. Amer. Math. Soc. 270 : 287 – 307 .
   Web of Science ®Google Scholar
• Macaulay , F. H. S. ( 1994 ). The Algebraic Theory of Modular Systems . Cambridge , UK : Cambridge University Press , 1916 reprinted with a foreword by P. Roberts, London, New York: Cambridge University Press .
   Google Scholar
• Srinivasan , H. ( 1977 ). Algebra structure for graded free resolutions . Contemporary Mathematics 99 : 447 – 485 .
   Google Scholar
• Srinivasan , H. ( 2003 ). Gorenstein Sequences . Advances in Algebra and Geometry (Hyderabad, 2001) . New Delhi : Hindustan book Agency , pp. 93 – 103 .
   Google Scholar
• Communicated by A. Singh.
   Google Scholar