Nonlinear Triple Product A*B plus B*A for Derivations on *-Algebras

被引：0
作者：
Darvish, Vahid [1 ]
Nouri, Mojtaba [2 ]
Razeghi, Mehran [2 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China
[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar 474161468, Iran
来源：
MATHEMATICAL NOTES | 2020年 / 108卷 / 1-2期
关键词：
triple product derivation; prime *-algebra; additive map; PRESERVING PRODUCT; MAPS; JORDAN;
D O I：
10.1134/S0001434620070196
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be a prime *-algebra. In this paper, assuming that Phi : A -> A satisfies Phi(A lozenge B lozenge C) = Phi(A) lozenge B lozenge C + A lozenge F(B) lozenge C + A lozenge B lozenge Phi(C) where A lozenge B = A* B + B * A for all A, B is an element of A, we prove that Phi is additive an *-derivation.
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收藏
页码：179 / 187
页数：9
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