d-critical modules of length 2 over weyl algebras |
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| Authors: | Gadi Shimon Perets |
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| Institution: | (1) Department of Theoretical Mathematics, Weizmann Institute of Science, Rehovot, Israel;(2) Present address: Departément de Mathématiques, Université de Lyon I, 43 bd. du 18 Novembre, 69622 Villeurbanne, France cedex |
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| Abstract: | We construct a family of modules over Weyl algebras with the property of being non-simple of finite length and alsod-critical (i.e.d(M)>d(M/N) for every non-trivial submoduleN, ofM). Hered stands for the Gelfand-Kirillov dimension. We further study some properties of these modules. |
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