Identities and isomorphisms of finite-dimensional graded simple algebras
Abstract
Let F be an algebraically closed field, G be an abelian group, and let A and B be arbitrary finite-dimensional G-graded simple algebras over F. We prove that A and B are isomorphic if, and only if, they satisfy the same graded polynomial identities.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.