Aut-stable subspaces of Grassmann algebras

Demir M. K., Nazemian Z.

Communications in Algebra, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2026
  • Doi Number: 10.1080/00927872.2026.2631169
  • Journal Name: Communications in Algebra
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Keywords: Aut-stable subspaces, Grassmann algebras
  • Middle East Technical University Affiliated: Yes

Abstract

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