Claudemir Fidelis

activity

20172021

most cited

Z

-graded identities of the Lie algebras

U_{1}

in characteristic 2

6 citations · 7 across the 4 of their papers we have counts for

collaborators

6 papers

math.RA2021★ 6 cited

$Z$ -graded identities of the Lie algebras $U_{1}$ in characteristic 2

Claudemir Fidelis, Plamen Koshlukov

Let $K$ be any field of characteristic two and let $U_{1}$ and $W_{1}$ be the Lie algebras of the derivations of the algebra of Laurent polynomials $K [t, t^{- 1}]$ and of the polynomial…

math.RA2021

A note on $Z$ -gradings on the Grassmann algebra and Elementary Number Theory

Alan Guimarães, Claudemir Fidelis, Plamen Koshlukov

Let $E$ be the Grassmann algebra of an infinite dimensional vector space $L$ over a field of characteristic zero. In this paper, we study the $Z$ -gradings on $E$ having th…

math.RA2021★ 1 cited

$Z$ -graded identities of the Lie algebras $U_{1}$

Claudemir Fidelis, Plamen Koshlukov

Let $K$ be an infinite field of characteristic different from two and let $U_{1}$ be the Lie algebra of the derivations of the algebra of Laurent polynomials $K [t, t^{- 1}]$ . The algeb…

math.RA2020

$Z$ -gradings of full support on the Grassmann algebra

Alan Guimarães, Antonio Brandão, Claudemir Fidelis

Let $E$ be the infinite dimensional Grassmann algebra over a field $F$ of characteristic zero. In this paper we investigate the structures of $Z$ -gradings on $E$ of full s…

math.RA2017

Graded Isomorphisms on Upper Block Triangular Matrix Algebras

Alex Ramos, Claudemir Fidelis, Diogo Diniz

We describe the graded isomorphisms of rings of endomorphisms of graded flags over graded division algebras. As a consequence describe the isomorphism classes of upper block triang…

math.RA2017

Identities and central polynomials of real graded division algebras

Diogo Diniz, Claudemir Fidelis, Sérgio Mota

Let $A$ be a finite dimensional real algebra with a division grading by a finite abelian group $G$ . In this paper we provide finite basis for the $T_{G}$ -ideal of graded identities a…

Z-graded identities of the Lie algebras U1​ in characteristic 2

A note on Z-gradings on the Grassmann algebra and Elementary Number Theory

Z-graded identities of the Lie algebras U1​