Yıl 2014, Cilt 15, Sayı 15, Sayfalar 196 - 207 2014-06-01
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## CENTRALIZERS IN ORE EXTENSIONS OF POLYNOMIAL RINGS

#### Johan Richter [1] , Sergei Silvestrov [2]

##### 166 177

In this paper, we consider centralizers of single elements in certain Ore extensions, with a non-invertible endomorphism, of the ring of polynomials in one variable over a field. We show that they are commutative and finitely generated as algebras. We also show that for certain classes of elements their centralizer is singly generated as an algebra.
Ore extension, centralizer
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• Division of Applied Mathematics The School of Education, Culture and Communication M¨alardalen University Box 883, SE-72123 V¨aster˚as, Sweden e-mail: sergei.silvestrov@mdh.se
Konular JA36FT97AG Makaleler Yazar: Johan Richter Yazar: Sergei Silvestrov
 Bibtex @ { ieja266247, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {Prof. Dr. Abdullah HARMANCI}, year = {2014}, volume = {15}, pages = {196 - 207}, doi = {10.24330/ieja.266247}, title = {CENTRALIZERS IN ORE EXTENSIONS OF POLYNOMIAL RINGS}, key = {cite}, author = {Silvestrov, Sergei and Richter, Johan} }` APA Richter, J , Silvestrov, S . (2014). CENTRALIZERS IN ORE EXTENSIONS OF POLYNOMIAL RINGS. International Electronic Journal of Algebra, 15 (15), 196-207. DOI: 10.24330/ieja.266247 MLA Richter, J , Silvestrov, S . "CENTRALIZERS IN ORE EXTENSIONS OF POLYNOMIAL RINGS". International Electronic Journal of Algebra 15 (2014): 196-207 Chicago Richter, J , Silvestrov, S . "CENTRALIZERS IN ORE EXTENSIONS OF POLYNOMIAL RINGS". International Electronic Journal of Algebra 15 (2014): 196-207 RIS TY - JOUR T1 - CENTRALIZERS IN ORE EXTENSIONS OF POLYNOMIAL RINGS AU - Johan Richter , Sergei Silvestrov Y1 - 2014 PY - 2014 N1 - doi: 10.24330/ieja.266247 DO - 10.24330/ieja.266247 T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 196 EP - 207 VL - 15 IS - 15 SN - 1306-6048-1306-6048 M3 - doi: 10.24330/ieja.266247 UR - http://dx.doi.org/10.24330/ieja.266247 Y2 - 2018 ER - EndNote %0 International Electronic Journal of Algebra CENTRALIZERS IN ORE EXTENSIONS OF POLYNOMIAL RINGS %A Johan Richter , Sergei Silvestrov %T CENTRALIZERS IN ORE EXTENSIONS OF POLYNOMIAL RINGS %D 2014 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 15 %N 15 %R doi: 10.24330/ieja.266247 %U 10.24330/ieja.266247 ISNAD Richter, Johan , Silvestrov, Sergei . "CENTRALIZERS IN ORE EXTENSIONS OF POLYNOMIAL RINGS". International Electronic Journal of Algebra 15 / 15 (Haziran 2014): 196-207. http://dx.doi.org/10.24330/ieja.266247