Speaker
Dr
Maryna Raievska
(University of Warsaw, Warsaw, Poland; Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)
Description
Obviously, the direct product of nearrings with identity is a nearring with identity. At the same time, the direct product of two arbitrary local nearrings is not a local nearring. Naturally, the question arises of defining such a product, the result of which is a local nearring.
The semidirect product of the ring $R$ with the abelian group $G$, which is a nearring, was given in [1]. We generalized such product to local nearrings, i.e., local nearring extensions.
Acknowledgements. Authors would like to thank to IIE-SRF for supporting of their fellowships at the University of Warsaw.
[1] Fechete I., Fechete D., Bica A. M. Semidirect products and near rings. An. Univ. Oradea Fasc. Mat., 14 (2007), 211-219.
Primary authors
Iryna Raievska
(University of Warsaw, Warsaw, Poland; Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)
Dr
Maryna Raievska
(University of Warsaw, Warsaw, Poland; Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)
