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On E k -rings

Alessandra Cherubini, Ada Varisco (1988)

Czechoslovak Mathematical Journal

On feebly nil-clean rings

Marjan Sheibani Abdolyousefi, Neda Pouyan (2024)

Czechoslovak Mathematical Journal

A ring R is feebly nil-clean if for any a R there exist two orthogonal idempotents e , f R and a nilpotent w R such that a = e - f + w . Let R be a 2-primal feebly nil-clean ring. We prove that every matrix ring over R is feebly nil-clean. The result for rings of bounded index is also obtained. These provide many classes of rings over which every matrix is the sum of orthogonal idempotent and nilpotent matrices.

On periodic rings.

Du, Xiankun, Yi, Qi (2001)

International Journal of Mathematics and Mathematical Sciences

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