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arXiv · 1708.01800

The Structure of the Inverse System of Level $K$-Algebras

Shreedevi K. Masuti·Laura Tozzo
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Abstract

Macaulay's inverse system is an effective method to construct Artinian K-algebras with additional properties like, Gorenstein, level, more generally with any socle type. Recently, Elias and Rossi gave the structure of the inverse system of $d$-dimensional Gorenstein K-algebras for any $d>0$. In this paper we extend their result by establishing a one-to-one correspondence between $d$-dimensional level K-algebras and certain submodules of the divided power ring. We give several examples to illustrate our result.

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Shreedevi K. Masuti, Laura Tozzo. 2017-08-05. The Structure of the Inverse System of Level $K$-Algebras. https://arxiv.org/abs/1708.01800

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