Two approaches on the proof of the Amitsur-Levitzki theorem

• Main Author: Bagorio, Bernardo L.
• Format: text
• Language: English
• Published: Animo Repository 1991
• Subjects: Graph theory; Proof theory; Permutations; Curriculum and Instruction; Educational Assessment, Evaluation, and Research; Secondary Education
• Online Access: https://animorepository.dlsu.edu.ph/etd_masteral/1414; https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8252/viewcontent/TG02036_F_Redacted.pdf
• Institution: De La Salle University

In Minimal identities for Algebras by Amitsur and Levitzki, which appeared in the Proceedings of the American Mathematical Society (1950), the Amitsur-Levitzki Theorem states that If A1, A2, . . . . , A2n are any n x n matrices with entries in any commutative ring, then[A1, . . . . , A2n] = 0where [...