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math.AC2021
Levelness versus almost Gorensteinness of edge rings of complete multipartite graphs
Akihiro Higashitani, Koji Matsushita
Levelness and almost Gorensteinness are well-studied properties on graded rings as a generalized notion of Gorensteinness. In the present paper, we study those properties for the e…
math.AC2021
Inequalities of invariants on Stanley-Reisner rings of Cohen-Macaulay simplicial complexes
Akihiro Higashitani, Hiroju Kanno, Kazunori Matsuda
The goal of the present paper is the study of some algebraic invariants of Stanley-Reisner rings of Cohen-Macaulay simplicial complexes of dimension . We prove that the ineq…