Level and pseudo-Gorenstein binomial edge ideals

Abstract: Gorenstein binomial edge ideals have been completely characterized and they are the paths only. There are two interesting generalizations of Gorenstein rings: level rings and pseudo-Gorenstein rings. In the first half, we will talk about the behavior of the levelness and pseudo-Gorensteinness on the decomposable graphs and cone graphs. In the next half, we will discuss the characterization of Cohen-Macaulay binomial edge ideals of bipartite graphs and then their levelness and pseudo-Gorensteinness. This talk is based on the joint work with Giancarlo Rinaldo.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

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