Abdul Mu'in, Santi Irawati, Hery Susanto, I. Made Sulandra, Mohammad Agung, Hidetoshi Marubayashi
From any element a of a ring R with unity, we set τ (a) = (e R\e3 = e and a - e Nil(R)), where Nil(R) is the set of all nilpotent elements of R; trinil clean index of R is defined by sup (|τ(a)| | a R) and it is denoted by Trinin(R). Motivated by the trinil clean index of any ring Zn for any positive integer n > 2, we expand these results by determined the trinil clean index of upper triangular matrix 2 x 2 over Zn which n is positive integer greater than 2. © 2022 American Institute of Physics Inc.. All rights reserved.
Department of Mathematics, Faculty of Mathematics and Science, Universitas Negeri Malang, Malang, Indonesia; Naruto University of Education, Tokushima, Japan
