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arXiv · 2210.00711

Some properties of $n$-semidualizing modules

Tony Se
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Abstract

Let $R$ be a commutative noetherian ring. The $n$-semidualizing modules of $R$ are generalizations of its semidualizing modules. We will prove some basic properties of $n$-semidualizing modules. Our main result and example shows that the divisor class group of a Gorenstein determinantal ring over a field is the set of isomorphism classes of its 1-semidualizing modules. Finally, we pose some questions about $n$-semidualizing modules.

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Tony Se. 2022-10-03. Some properties of $n$-semidualizing modules. https://arxiv.org/abs/2210.00711

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