NONLINEAR -JORDAN-TYPE DERIVATIONS ON ALTERNATIVE -ALGEBRAS

被引：4

作者：

Andrade, A. J. O. ^{[1
]}

Moraes, G. C. ^{[1
]}

Ferreira, R. N. ^{[2
]}

Ferreira, B. L. M. ^{[2
]}

机构：

[1] Fed Univ ABC, 5001 Estados Ave, BR-09210580 Santo Andre, SP, Brazil

[2] Fed Univ Technol, 800 Prof Laura Pacheco Bastos Ave, BR-85053510 Guarapuava, Brazil

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2022年 / 19卷 / 01期

关键词：

*-Jordan-type derivation; *-derivation; alternative *-algebras; MAPS; PRODUCT; ADDITIVITY; RINGS;

D O I：

10.33048/semi.2022.19.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be an unital alternative *-algebra. Assume that A contains a nontrivial symmetric idempotent element e which satisfies x(A) . e = 0 implies x = 0 and xA . (1(A) - e) = 0 implies x = 0. In this paper, it is shown that Phi is a nonlinear *-Jordan-type derivation on A if and only if Phi is an additive *-derivation. As application, we get a result on alternative W*-algebras.

引用

页码：125 / 137

页数：13

共 50 条

[21] THE SECOND NONLINEAR MIXED JORDAN TRIPLE *-DERIVATIONS ON *-ALGEBRAS
Zhao, Fangfang
Zhang, Dongfang
Chen, Quanyuan
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (03) : 919 - 927
[22] Nonlinear mixed *-Jordan n-derivations on *-algebras
Siddeeque, Mohammad Aslam
Bhat, Raof Ahmad
Shikeh, Abbas Hussain
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2025, 18 (01)
[23] NONLINEAR *-JORDAN TRIPLE DERIVATIONS ON VON NEUMANN ALGEBRAS
Zhao, Fangfang
Li, Chanjing
MATHEMATICA SLOVACA, 2018, 68 (01) : 163 - 170
[24] Nonlinear mixed Jordan and bi-skew Jordan derivations on prime ∗-algebras
Darvish, Vahid
Razeghi, Mehran
Nouri, Mojtaba
FILOMAT, 2024, 38 (19) : 6681 - 6689
[25] Jordan-Type Inequalities and Stratification
Micovic, Milos
Malesevic, Branko
AXIOMS, 2024, 13 (04)
[26] Nonlinear generalized Jordan (sigma, tau)-derivations on triangular algebras
Alkenani, Ahmad N.
Ashraf, Mohammad
Jabeen, Aisha
SPECIAL MATRICES, 2018, 6 (01): : 216 - 228
[27] Nonlinear mixed Jordan triple *-derivations on Standard operator algebras
Rehman, Nadeem ur
Nisar, Junaid
Nazim, Mohd
FILOMAT, 2023, 37 (10) : 3143 - 3151
[28] JORDAN *-DERIVATIONS AND QUADRATIC JORDAN *-DERIVATIONS ON REAL C*-ALGEBRAS AND REAL JC*-ALGEBRAS
Bodaghi, Abasalt
Park, Choonkil
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2013, 10 (10)
[29] Characterizations of derivations and Jordan derivations on Banach algebras
Lu, Fangyan
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (8-9) : 2233 - 2239
[30] Jordan Derivations and Lie Derivations on Path Algebras
Li, Y.
Wei, F.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (01): : 79 - 92

← 1 2 3 4 5 →

NONLINEAR *-JORDAN-TYPE DERIVATIONS ON ALTERNATIVE *-ALGEBRAS

NONLINEAR -JORDAN-TYPE DERIVATIONS ON ALTERNATIVE -ALGEBRAS