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- W2201647567 abstract "In this paper, for the development of the study of almost Gorenstein graded rings, we discuss some relations between almost Gorensteinness of Cohen--Macaulay homogeneous rings and their $h$-vectors. Concretely, for a Cohen--Macaulay homogeneous ring $R$, we give a sufficient condition for $R$ to be almost Gorenstein in terms of the $h$-vector of $R$ and we also characterize almost Gorenstein homogeneous domains with small socle degrees in terms of the $h$-vector of $R$. Moreover, we also provide the examples of almost Gorenstein homogeneous domains arising from lattice polytopes." @default.
- W2201647567 created "2016-06-24" @default.
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- W2201647567 date "2015-07-13" @default.
- W2201647567 modified "2023-09-27" @default.
- W2201647567 title "Almost Gorenstein homogeneous rings and their $h$-vectors" @default.
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