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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 $x\in R$.… Click to show full abstract
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:
involution;
semiprime rings;
maps prime;
rings involution;
prime semiprime;
additive maps
Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2019
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Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!