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arXiv · 2508.16945

Aut-stable subspaces of Grassmann algebras

Mithat Konuralp Demir·Zahra Nazemian
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Abstract

Recently, the concept of Aut-stable subspaces has played an important role in the characterization of polynomial rings, a topic that remains a challenging problem in algebraic geometry (see [8]). It turns out that polynomial rings with more than two variables do not have any Aut-stable subspaces over an algebraically closed field of characteristic zero [7]. In this work, we characterize all Aut-stable subspaces and Aut-stable subalgebras of Grassmann algebras.

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Mithat Konuralp Demir, Zahra Nazemian. 2025-08-23. Aut-stable subspaces of Grassmann algebras. https://arxiv.org/abs/2508.16945

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