Jonatan Andrés Gómez Parada

collaborators

2 papers

math.RA2024

Gradings, graded identities, $$ -identities and graded $$ -identities of an algebra of upper triangular matrices

Jonatan Andres Gomez Parada, Plamen Koshlukov

Let $K ⟨ X ⟩$ be the free associative algebra freely generated over the field $K$ by the countable set $X = {x_{1}, x_{2}, \dots}$ . If $A$ is an associative $K$ -algebra,…

math.RA2024

$Z_{2}$ -graded $*$ -polynomial identities and cocharacteres for $M_{1, 1} (E)$ , $U T_{1, 1} (E)$ and $U T_{(0, 1, 0)} (E)$

Jonatan Andres Gomez Parada

Let $K$ be a field of characteristic 0, and let $E$ be the infinite-dimensional Grassmann algebra over $K$ . We consider $E$ as a $Z_{2}$ -graded algebra, where the grading is…

Gradings, graded identities, ∗-identities and graded ∗-identities of an algebra of upper triangular matrices

Z2​-graded ∗-polynomial identities and cocharacteres for M1,1​(E), UT1,1​(E) and UT(0,1,0)​(E)

Gradings, graded identities, $$ -identities and graded $$ -identities of an algebra of upper triangular matrices

$Z_{2}$ -graded $*$ -polynomial identities and cocharacteres for $M_{1, 1} (E)$ , $U T_{1, 1} (E)$ and $U T_{(0, 1, 0)} (E)$