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## Additive maps on prime and semiprime rings with involution

#### A. ALAHMADİ [1] , H. ALHAZMİ [2] , Shakir ALİ [3] , Nadeem DAR [4] , Abdul KHAN [5]

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.
prime ring, semiprime ring, normal ring, involution, generalized derivation, left $*$-centralizer, Jordan left $*$-centralizer, generalized derivation
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-7758-3537Author: A. ALAHMADİ Institution: King Abdulaziz UniversityCountry: Saudi Arabia Orcid: 0000-0001-7190-5884Author: H. ALHAZMİ Institution: King Abdulaziz UniversityCountry: Saudi Arabia Orcid: 0000-0001-5162-7522Author: Shakir ALİ Institution: King Abdulaziz UniversityCountry: Saudi Arabia Orcid: 0000-0003-0074-2912Author: Nadeem DAR Institution: IUSTCountry: India Orcid: 0000-0001-5861-6137Author: Abdul KHAN (Primary Author)Institution: King Abdulaziz UniversityCountry: Saudi Arabia Publication Date : June 2, 2020
 Bibtex @research article { hujms661178, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {1126 - 1133}, doi = {10.15672/hujms.661178}, title = {Additive maps on prime and semiprime rings with involution}, key = {cite}, author = {Alahmadi̇, A. and Alhazmi̇, H. and Ali̇, Shakir and Dar, Nadeem and Khan, Abdul} } APA Alahmadi̇, A , Alhazmi̇, H , Ali̇, S , Dar, N , Khan, A . (2020). Additive maps on prime and semiprime rings with involution . Hacettepe Journal of Mathematics and Statistics , 49 (3) , 1126-1133 . DOI: 10.15672/hujms.661178 MLA Alahmadi̇, A , Alhazmi̇, H , Ali̇, S , Dar, N , Khan, A . "Additive maps on prime and semiprime rings with involution" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1126-1133 Chicago Alahmadi̇, A , Alhazmi̇, H , Ali̇, S , Dar, N , Khan, A . "Additive maps on prime and semiprime rings with involution". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1126-1133 RIS TY - JOUR T1 - Additive maps on prime and semiprime rings with involution AU - A. Alahmadi̇ , H. Alhazmi̇ , Shakir Ali̇ , Nadeem Dar , Abdul Khan Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.661178 DO - 10.15672/hujms.661178 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1126 EP - 1133 VL - 49 IS - 3 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.661178 UR - https://doi.org/10.15672/hujms.661178 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Additive maps on prime and semiprime rings with involution %A A. Alahmadi̇ , H. Alhazmi̇ , Shakir Ali̇ , Nadeem Dar , Abdul Khan %T Additive maps on prime and semiprime rings with involution %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 3 %R doi: 10.15672/hujms.661178 %U 10.15672/hujms.661178 ISNAD Alahmadi̇, A. , Alhazmi̇, H. , Ali̇, Shakir , Dar, Nadeem , Khan, Abdul . "Additive maps on prime and semiprime rings with involution". Hacettepe Journal of Mathematics and Statistics 49 / 3 (June 2020): 1126-1133 . https://doi.org/10.15672/hujms.661178 AMA Alahmadi̇ A , Alhazmi̇ H , Ali̇ S , Dar N , Khan A . Additive maps on prime and semiprime rings with involution. Hacettepe Journal of Mathematics and Statistics. 2020; 49(3): 1126-1133. Vancouver Alahmadi̇ A , Alhazmi̇ H , Ali̇ S , Dar N , Khan A . Additive maps on prime and semiprime rings with involution. Hacettepe Journal of Mathematics and Statistics. 2020; 49(3): 1126-1133.

Authors of the Article
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