Derivations of a Restricted Weyl-Type Algebra Containing the Polynomial Ring |
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Authors: | Seul Hee Choi Jongwoo Lee |
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Institution: | 1. Department of Mathematics , Jeonju University , Chon-ju, Korea;2. Graduate School of Railroad , Seoul National University of Technology , Nowongu, Seoul, Korea |
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Abstract: | Buchsbaum and Eisenbud 3
Buchsbaum , D. ,
Eisenbud , D. ( 1977 ). Algebra structures for finite free resolutions and some structure theorems for ideals of codimension 3 . Amer. J. Math. 99 : 447 – 485 .Crossref], Web of Science ®] , Google Scholar]] proved a structure theorem for Gorenstein ideals of grade 3 which claims that every Gorenstein ideal of grade 3 is generated by the submaximal order pfaffians of an alternating matrix. In this article, we characterize some classes of grade 3 perfect ideals which are linked to an almost complete intersection of even type. Furthermore, these structure theorems give us relations between the Gorenstein sequences and the Hilbert functions of the grade 3 perfect ideals that we characterized. |
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Keywords: | Annihilator Derivation Idempotent Kronecker delta Non-associative algebra Right identity Simple |
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