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Functional identities of degree 2 vanishing on zero products of XY and Y X
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2021-03-16 , DOI: 10.1080/03081087.2021.1900050 Nefıse Cezayırlıoğlu 1 , Çağri Demır 1
中文翻译:
XY 和 YX 的零积上消失的 2 次函数恒等式
更新日期:2021-03-16
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2021-03-16 , DOI: 10.1080/03081087.2021.1900050 Nefıse Cezayırlıoğlu 1 , Çağri Demır 1
Affiliation
Let R be a unitary prime ring with the maximal left ring of quotients . We completely characterize the forms of additive maps such that whenever satisfy xy = 0 = yx under the assumptions that R contains a nontrivial idempotent and characteristic of R is not 2. This partially generalizes a result of T.K. Lee in [Bi-additive maps of ζ-Lie product type vanishing on zero products of XY and Y X. Comm Algebra. 2017;45(8):3449–3467].
中文翻译:
XY 和 YX 的零积上消失的 2 次函数恒等式
令R为具有最大左环商的酉素环. 我们完全描述了加法映射的形式这样每当满足xy = 0 = yx假设R包含非平凡的幂等性且R的特征不为 2。这部分概括了 TK Lee 在 [Bi-additive maps of ζ -Lie product type vanishing on zero products of XY and YX . 通信代数。2017;45(8):3449–3467]。