Superpolynomial identities of finite-dimensional simple algebras
Y Bahturin, FY Yasumura - Communications in Algebra, 2025 - Taylor & Francis
We investigate the Grassmann envelope (of finite rank) of a finite-dimensional Z 2-graded
algebra. As a result, we describe the polynomial identities of G 1 (A), where G 1 stands for …
algebra. As a result, we describe the polynomial identities of G 1 (A), where G 1 stands for …
The standard identity in algebra
G Assis - Rendiconti del Circolo Matematico di Palermo Series 2, 2024 - Springer
Abstract The classic Amitsur-Levitzki theorem states that the algebra of square matrices of
order over a field K satisfies the standard identity of degree 2 n and does not satisfy any …
order over a field K satisfies the standard identity of degree 2 n and does not satisfy any …
The minimal degree standard identity on MnE2 and MnE3
BA Balázs, S Mészáros - Israel Journal of Mathematics, 2020 - Springer
Abstract We prove an Amitsur–Levitzki-type theorem for Grassmann algebras, stating that
the minimal degree of a standard identity that is a polynomial identity of the ring of n× n …
the minimal degree of a standard identity that is a polynomial identity of the ring of n× n …
[PDF][PDF] FINITELY GENERATED GRASSMANN ALGEBRAS-COMMUTATIVITY AND COMPUTER APPROACH
T Rashkova - suruse.uni-ruse.bg
The first proof by lower and upper solutions Page 1 MATHEMATICS PROCEEDINGS OF THE
UNION OF SCIENTISTS – RUSE VOL. 14 / 2017 25 web: suruse.uni-ruse.bg FINITELY …
UNION OF SCIENTISTS – RUSE VOL. 14 / 2017 25 web: suruse.uni-ruse.bg FINITELY …