Nil clean rings

2013/03/18 by Alexander J. Diesl · 30 citations
Mathematics · Computer Science · #Rings, Modules, and Algebras #Advanced Algebra and Logic #Algebraic structures and combinatorial models

paper · doi:10.1016/j.jalgebra.2013.02.020

Citations

• Lifting idempotents and exchange rings

Cited by

• Strongly nil-clean 2-by-2 matrices over general commutative rings
• A bound for the nilpotence index associated to m-nil-clean nonderogatory matrices
• Expanding Generalized Fine Rings
• Rings additively generated by idempotents and nilpotents
• Products of nilpotents in a quaternion ring of odd order
• √(J)-clean rings
• Rings in which every unit is a sum of a nilpotent and an idempotent
• Weakly nil clean graphs of rings
• Unit Uniquely Clean Rings
• On Strongly \( J^# \)-Clean Rings
• Weakly I-clean rings
• Uniquely weakly nil-clean conditions on zero-divisors
• Rings Whose Units Have Identity Plus Quasi-Nilpotent Square
• Weakly Strongly 2-Nil-Clean Rings
• Nonderogatory matrices as sums of p-potent and nilpotent matrices
• Companion matrices as sums of p-potent and nilpotent matrices
• Rings in which elements are a sum of a central and a nilpotent element
• On Rings with the 2-UNJ Property
• Zero Insertive Nil Clean Rings
• Rings Whose Non-Units are Square-Nil Clean
• Some Results on Triangular Coefficient Matrix Rings
• A Generalization Of Regular And Strongly Π-regular Rings
• Generalizing pi-regular rings
• The generalized and pseudo n-strong Drazin inverse of the sum of elements in Banach algebras
• Periodicity and J-Clean-like Rings
• Rings in which every element is either a sum or a difference of a nilpotent and an idempotent
• On Strongly Δ-Clean Rings
• A New Characterization of Semi-Tripotent Rings
• Rings over which every matrix is the sum of a tripotent and a nilpotent
• On Yaqub nil-clean ring