On the Generalized Strongly Nil - Clean Property of the Matrix Rings
Abstract
Let R be an associative unital ring and not necessarily commutative. We
analyzes conditions under which every n×n matrix A over R is expressible as a sum
A = E1 + ... +Es +N of (commuting) idempotent matrices Ei and a nilpotent matrix N.
Keywords:
Idempotent matrix / Nilpotent matrix / Nil-clean ring / Matrix ringSource:
Algebra Colloquium, 2021, 28, 4, 625-634Publisher:
- World Scientific Publishing Company
Funding / projects:
- Analysis and algebra with applications (RS-MESTD-Basic Research (BR or ON)-174032)