Strongly nil-clean 2-by-2 matrices over general commutative rings

2026/07/24 by Muhammad Saad
Mathematics · Decision Sciences · #Rings, Modules, and Algebras #Advanced Topics in Algebra #Fuzzy and Soft Set Theory

paper · doi:10.1016/j.laa.2026.07.013

Citations

• Sums of two triangularizable quadratic matrices over an arbitrary field
• Perspectivity and cancellation in regular rings
• Decomposition of singular matrices into idempotents
• When is a matrix a difference of two idempotents
• Nil clean rings
• When is a matrix a sum of idempotents?
• Lifting idempotents and exchange rings
• Idempotents in triangular matrix rings
• Triangular idempotent matrices over a general ring
• Idempotents of 2 × 2 matrix rings over rings of formal power series