## Illinois Journal of Mathematics

### On semidualizing modules of ladder determinantal rings

#### Abstract

We identify all semidualizing modules over certain classes of ladder determinantal rings over a field $\mathsf{k}$. Specifically, given a ladder of variables $Y$, we show that the ring $\mathsf{k}[Y]/I_{t}(Y)$ has only trivial semidualizing modules up to isomorphism in the following cases: (1) $Y$ is a one-sided ladder, and (2) $Y$ is a two-sided ladder with $t=2$ and no coincidental inside corners.

#### Article information

Source
Illinois J. Math., Volume 63, Number 1 (2019), 165-191.

Dates
Revised: 8 March 2019
First available in Project Euclid: 29 May 2019

https://projecteuclid.org/euclid.ijm/1559116826

Digital Object Identifier
doi:10.1215/00192082-7617710

Mathematical Reviews number (MathSciNet)
MR3959871

Zentralblatt MATH identifier
07064390

#### Citation

Sather-Wagstaff, Sean; Se, Tony; Spiroff, Sandra. On semidualizing modules of ladder determinantal rings. Illinois J. Math. 63 (2019), no. 1, 165--191. doi:10.1215/00192082-7617710. https://projecteuclid.org/euclid.ijm/1559116826

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