The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “A class of counterexamples to the Cancellation Problem for arbitrary rings”

Rings generalized by tripotents and nilpotents

Huanyin Chen, Marjan Sheibani, Nahid Ashrafi (2022)

Czechoslovak Mathematical Journal

Similarity:

We present new characterizations of the rings for which every element is a sum of two tripotents and a nilpotent that commute. These extend the results of Z. L. Ying, M. T. Koşan, Y. Zhou (2016) and Y. Zhou (2018).

Locally Nilpotent Monomial Derivations

Marek Karaś (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

We prove that every locally nilpotent monomial k-derivation of k[X₁,...,Xₙ] is triangular, whenever k is a ring of characteristic zero. A method of testing monomial k-derivations for local nilpotency is also presented.