Aut-stable subspaces of Grassmann algebras
Rings and Algebras
2025-12-01 v2
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.
Cite
@article{arxiv.2508.16945,
title = {Aut-stable subspaces of Grassmann algebras},
author = {Mithat Konuralp Demir and Zahra Nazemian},
journal= {arXiv preprint arXiv:2508.16945},
year = {2025}
}