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## On divided and regular divided rings

In this paper, we study the notion of divided and regular divided rings. Then we establish the transfer of these notions to trivial ring extension and amalgamated algebras along an ideal. These results provide examples of non-divided regular divided rings. The article includes a brief discussion of the scope and precision of our results.
divided ring, regular divided ring, trivial ring extension, amalgamated algebras along an ideal
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-6387-7972Author: Chahrazade Bakkari (Primary Author) Publication Date : October 8, 2019
 Bibtex @research article { hujms629909, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2019}, volume = {48}, pages = {1454 - 1460}, doi = {}, title = {On divided and regular divided rings}, key = {cite}, author = {Bakkari, Chahrazade} } APA Bakkari, C . (2019). On divided and regular divided rings. Hacettepe Journal of Mathematics and Statistics , 48 (5) , 1454-1460 . Retrieved from https://dergipark.org.tr/en/pub/hujms/issue/49321/629909 MLA Bakkari, C . "On divided and regular divided rings". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1454-1460 Chicago Bakkari, C . "On divided and regular divided rings". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1454-1460 RIS TY - JOUR T1 - On divided and regular divided rings AU - Chahrazade Bakkari Y1 - 2019 PY - 2019 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1454 EP - 1460 VL - 48 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2018 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics On divided and regular divided rings %A Chahrazade Bakkari %T On divided and regular divided rings %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 48 %N 5 %R %U ISNAD Bakkari, Chahrazade . "On divided and regular divided rings". Hacettepe Journal of Mathematics and Statistics 48 / 5 (October 2019): 1454-1460 . AMA Bakkari C . On divided and regular divided rings. Hacettepe Journal of Mathematics and Statistics. 2019; 48(5): 1454-1460. Vancouver Bakkari C . On divided and regular divided rings. Hacettepe Journal of Mathematics and Statistics. 2019; 48(5): 1460-1454.