More Like this

1. ON THE CONNECTION BETWEEN DIFFERENTIAL POLYNOMIAL RINGS AND POLYNOMIAL RINGS OVER NIL RINGS

   https://doi.org/10.1017/S0004972719000923  

   CATALANO, LOUISA; CHANG-LEE, MEGAN (June 2020, Bulletin of the Australian Mathematical Society)

   In this paper, we study some connections between the polynomial ring $R[y]$ and the differential polynomial ring $R[x;D]$ . In particular, we answer a question posed by Smoktunowicz, which asks whether $R[y]$ is nil when $R[x;D]$ is nil, provided that $$R$$ is an algebra over a field of positive characteristic and $$D$$ is a locally nilpotent derivation. 

   more » « less
2. On skew polynomial rings over locally nilpotent rings

   https://doi.org/10.1080/00927872.2018.1499929  

   Chen, Fei Yu; Hagan, Hannah; Wang, Allison (February 2019, Communications in Algebra)
3. Iterated differential polynomial rings over locally nilpotent rings

   https://doi.org/10.1080/00927872.2020.1797075  

   Jin, Steven; Shin, Jooyoung (January 2021, Communications in Algebra)

   null (Ed.)
4. Differential polynomial rings in several variables over locally nilpotent rings

   https://doi.org/10.1142/S0218196719500668  

   Chen, Fei Yu; Hagan, Hannah; Wang, Allison (February 2020, International Journal of Algebra and Computation)

   We show that a differential polynomial ring over a locally nilpotent ring in several commuting variables is Behrens radical, extending a result by Chebotar. 

   more » « less
5. Units of twisted group rings and their correlations to classical group rings

   https://doi.org/10.1016/j.aim.2024.109983  

   Janssens, Geoffrey; Jespers, Eric; Schnabel, Ofir (December 2024, Advances in Mathematics)