Adel ALAHMADİ, Husain ALHAZMİ, Shakir ALİ, Nadeem AHMAD, Abdul Nadim KHAN

Additive maps on prime and semiprime rings with involution

Let $R$ be an associative ring. An additive map $x\mapsto x^*$ of $R$ into itself is called an involution if (i) $(xy)^*=y^*x^*$ and (ii) $(x^*)^*=x$ hold for all $x\in R$. The main purpose of this paper is to study some additive mappings on prime and semiprime rings with involution. Moreover, some examples are given to demonstrate that the restrictions imposed on the hypothesis of the various results are not superfluous.

Keywords:

prime ring, semiprime ring, normal ring involution, generalized derivation, left $$-centralizer, Jordan left $$-centralizer, generalized derivation,

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Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

Arşiv

Additive maps on prime and semiprime rings with involution

prime ring, semiprime ring, normal ring involution, generalized derivation, left $*$-centralizer, Jordan left $*$-centralizer, generalized derivation,

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prime ring, semiprime ring, normal ring involution, generalized derivation, left $$-centralizer, Jordan left $$-centralizer, generalized derivation,