On semiderivations of *-prime rings

Let R be a ∗-prime ring with involution ∗ and center Z(R). An additive mapping F:R→R is called a semiderivation if there exists a function g:R→R such that (i) F(xy)=F(x)g(y)+xF(y)=F(x)y+g(x)F(y) and (ii) F(g(x))=g(F(x)) hold for all x,y∈R. In the present paper, some well known results concerning der...

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Bibliographic Details
Main Authors:	Öznur Gölbaşı, Onur Ağırtıcı
Format:	Article
Language:	English
Published:	Sociedade Brasileira de Matemática 2015-08-01
Series:	Boletim da Sociedade Paranaense de Matemática
Subjects:	*-prime rings derivations semiderivations
Online Access:	http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23687

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spelling	doaj-dd7a49ddb1bb453e89fa8ec9432ff0262020-11-24T23:57:06ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882015-08-0133217718410.5269/bspm.v33i2.2368711445On semiderivations of -prime ringsÖznur Gölbaşı0Onur Ağırtıcı1Cumhuriyet University Faculty of Science, Department of Mathematics,Cumhuriyet University Faculty of Science, Department of Mathematics,Let R be a ∗-prime ring with involution ∗ and center Z(R). An additive mapping F:R→R is called a semiderivation if there exists a function g:R→R such that (i) F(xy)=F(x)g(y)+xF(y)=F(x)y+g(x)F(y) and (ii) F(g(x))=g(F(x)) hold for all x,y∈R. In the present paper, some well known results concerning derivations of prime rings are extended to semiderivations of ∗-prime rings.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23687-prime ringsderivationssemiderivations
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Öznur Gölbaşı Onur Ağırtıcı
spellingShingle	Öznur Gölbaşı Onur Ağırtıcı On semiderivations of -prime rings Boletim da Sociedade Paranaense de Matemática -prime rings derivations semiderivations
author_facet	Öznur Gölbaşı Onur Ağırtıcı
author_sort	Öznur Gölbaşı
title	On semiderivations of *-prime rings
title_short	On semiderivations of *-prime rings
title_full	On semiderivations of *-prime rings
title_fullStr	On semiderivations of *-prime rings
title_full_unstemmed	On semiderivations of *-prime rings
title_sort	on semiderivations of *-prime rings
publisher	Sociedade Brasileira de Matemática
series	Boletim da Sociedade Paranaense de Matemática
issn	0037-8712 2175-1188
publishDate	2015-08-01
description	Let R be a ∗-prime ring with involution ∗ and center Z(R). An additive mapping F:R→R is called a semiderivation if there exists a function g:R→R such that (i) F(xy)=F(x)g(y)+xF(y)=F(x)y+g(x)F(y) and (ii) F(g(x))=g(F(x)) hold for all x,y∈R. In the present paper, some well known results concerning derivations of prime rings are extended to semiderivations of ∗-prime rings.
topic	*-prime rings derivations semiderivations
url	http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23687
work_keys_str_mv	AT oznurgolbası onsemiderivationsofprimerings AT onuragırtıcı onsemiderivationsofprimerings
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On semiderivations of *-prime rings

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