Hamid Usefi

activity

20082023

most citedHigh-Dimensional Feature Selection for Genomic Datasets

27 citations · 45 across the 25 of their papers we have counts for

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19 papers · 1 filter

math.RA2020

Solvability of Poisson algebras

Salvatore Siciliano, Hamid Usefi

Let $P$ be a Poisson algebra with a Lie bracket ${,}$ over a field $\F$ of characteristic $p \geq 0$ . In this paper, the Lie structure of $P$ is investigated. In particular, if $…

math.RA2019

The isomorphism problem for universal enveloping algebras of four-dimensional solvable Lie algebras

José L. Vilca Rodríguez, Csaba Schneider, Hamid Usefi

This paper is a contribution to the isomorphism problem for universal enveloping algebras of finite-dimensional Lie algebras. We focus on solvable Lie algebras of small dimensions…

math.RA2017

Enveloping algebras that are principal ideal rings

Salvatore Siciliano, Hamid Usefi

Let $L$ be a restricted Lie algebra over a field of positive characteristic. We prove that the restricted enveloping algebra of $L$ is a principal ideal ring if and only if $L$ is…

math.RA2016

Perfect and semiperfect restricted enveloping algebras

Salvatore Siciliano, Hamid Usefi

For a restricted Lie algebra $L$ , the conditions under which its restricted enveloping algebra $u (L)$ is semiperfect are investigated. Moreover, it is proved that $u (L)$ is left (o…

math.RA2015

Lie identities on symmetric elements of restricted enveloping algebras

S. Siciliano, H. Usefi

Let L be a restricted Lie algebra over a field of characteristic p > 2 and denote by u(L) its restricted enveloping algebra. We determine the conditions under which the set of symm…

math.RA2015

Lie Properties of Restricted Enveloping Algebras

Salvatore Siciliano, Hamid Usefi

Let L be a restricted Lie algebra over a field of positive characteristic. We survey the known results about the Lie structure of the restricted enveloping algebra u(L) of L. Relat…