Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Ferreira, Bruno Leonardo Macedo"'
We address the conjectures left by the recent article by Ferreira et al. titled ``Commuting maps and identities with inverses on alternative division rings.'' We also present an example showing the necessity of the conditions of the results that answ
Externí odkaz:
http://arxiv.org/abs/2403.17971
In this paper, we tackle unresolved inquiries by Ferreira et al. \cite{bruno} in their recent publication, ``Functional Identity on Division Algebras". We delve into the intricate behavior of additive functions on matrix algebras over division rings
Externí odkaz:
http://arxiv.org/abs/2403.17970
To present a survey on known results from the theory of transposed Poisson algebras, as well as to establish new results on this subject, are the main aims of the present paper. Furthermore, a list of open questions for future research is given.
Externí odkaz:
http://arxiv.org/abs/2207.00281
Estudamos a estrutura de álgebras de potências associativas que são álgebras train. Primeiramente, mostramos a existência de idempotentes, que são todos principais e absolutamente primitivos. Em seguida, vemos as equações train envolvendo a d
Publikováno v:
Journal of Algebra and Its Applications Vol. 22, No. 06, 2350130 (2023)
Let $A$ and $A'$ be two alternative $*$-algebras with identities 1_A and 1_A', respectively, and e_1 and e_2 = 1_A - e_1 nontrivial symmetric idempotents in A. In this paper we study the characterization of multiplicative *-Lie-type maps. As applicat
Externí odkaz:
http://arxiv.org/abs/2111.02150
In the present paper, we prove that every local and $2$-local derivation of the complex finite-dimensional simple Filippov algebra is a derivation. As a corollary we have the description of all local and $2$-local derivations of complex finite-dimens
Externí odkaz:
http://arxiv.org/abs/2108.00398
Autor:
Ferreira, Ruth Nascimento, Ferreira, Bruno Leonardo Macedo, Junior, Henrique Guzzo, Costa, Bruno Tadeu
Let $\mathfrak{A}$ and $\mathfrak{A}'$ be two $C^*$-algebras with identities $I_{\mathfrak{A}}$ and $I_{\mathfrak{A}'}$, respectively, and $P_1$ and $P_2 = I_{\mathfrak{A}} - P_1$ nontrivial symmetric projections in $\mathfrak{A}$. In this paper we s
Externí odkaz:
http://arxiv.org/abs/2108.00025
Autor:
Andrade, Aline Jaqueline de Oliveira, de Moraes, Gabriela Cotrim, Ferreira, Ruth Nascimento, Ferreira, Bruno Leonardo Macedo
Publikováno v:
Afrika Matematika 32 (2021) 1563-1571
In this paper, we address the additivity of $n$-multiplicative isomorphisms and $n$-multiplicative derivations on Gamma rings. We proved that, if $\M$ is a $\Gamma$-ring satisfying the some conditions, then any $n$-multiplicative isomorphism $\left(\
Externí odkaz:
http://arxiv.org/abs/2107.02760
Autor:
Andrade, Aline Jaqueline de Oliveira, Moraes, Gabriela C., Ferreira, Ruth Nascimento, Ferreira, Bruno Leonardo Macedo
Publikováno v:
Siberian Electronic Mathematical Reports 19, 1 (2022), 125-137
Let $A$ be an unital alternative $*$-algebra. Assume that $A$ contains a nontrivial symmetric idempotent element $e$ which satisfies $xA \cdot e = 0$ implies $x = 0$ and $xA \cdot (1_A - e) = 0$ implies $x = 0$. In this paper, it is shown that $\Phi$
Externí odkaz:
http://arxiv.org/abs/2105.00955
Publikováno v:
In Journal of Algebra 15 January 2024 638:488-505
