Consider the Jordan algebra of upper triangular matrices of order two, over a field of
characteristic different from two, with the Jordan product induced by the usual associative …

We study the graded polynomial identities with a homogeneous involution on the algebra of
upper triangular matrices endowed with a fine group grading. We compute their polynomial …

Let K be a field (finite or infinite) of char (K)≠ 2 and let UT 2 (K) be the 2× 2 upper triangular
matrix algebra over K. If⋅ is the usual product on UT 2 (K) then with the new product a∘ …

Full article: Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3
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Let F be a field of characteristic different from 2. Small-dimensional Jordan algebras over F
have been extensively studied and classified. In the present paper we show that any two …

Let F be an algebraically closed field of characteristic different from 2. We show that the
images of multilinear⁎-graded polynomials on UT 2 are homogeneous vector spaces. An …

We compute the graded polynomial identities for the variety of graded algebras generated
by the Lie algebra of upper triangular matrices of order 3 over an arbitrary field and …

Let $ F $ be a finite field and consider $ UT_n $ the algebra of $ n\times n $ upper triangular
matrices over $ F $. In [1], it was proved that every $ G $-grading is elementary. In [2], the …

Let UT 2 n be the algebra of all 2 n× 2 n upper triangular matrices over a field F whose
characteristic is different from 2. In the present work, we will consider UT 2 n equipped with …

Abstract Let UT< sub> 4</sub>(F) be 4× 4 upper triangular matrix algebra over F a field of
characteristic zero and let A be the subalgebra of UT< sub> 4</sub>(F) linearly generated …