Resumen de The structure of the inverse system of level K-algebras

Shreedevi K. Masuti, Laura Tozzo

• Macaulay’s inverse system is an effective method to construct Artinian K-algebras with the additional properties of being, for example, Gorenstein, level, or having any specific socle type. Recently, Elias and Rossi (Adv Math 314:306–327, 2017) gave the structure of the inverse system of d-dimensional Gorenstein K-algebras for any ?>0 . In this paper we extend their result by establishing a one-to-one correspondence between d-dimensional level K-algebras and suitable submodules of the divided power ring. We give several examples to illustrate our result.