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math.RA2026
-algebras with involution: polynomial identities and asymptotic growth
Ginevra Giordani, Antonio Ioppolo, Carla Rizzo
Let be an algebra with involution over a field of characteristic zero. We develop a theory of -polynomial identities with involution for finite-dimensional -algebras…
math.RA2026
Differential varieties of upper triangular matrices
Daniela La Mattina, Carla Rizzo
Let be a Lie algebra acting by derivations on an associative algebra over a field of characteristic zero. The polynomial identities satisfied by with respect to thi…
math.RA2026
On anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras
Elisabete Barreiro, Said Benayadi, Hamza El Ouali +1
We introduce the notions of anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras, which arise as nearly associative Levi-Civita products associated w…