@article{oai:toyama.repo.nii.ac.jp:00015920, author = {Danchev, Peter V}, journal = {Toyama mathematical journal}, month = {}, note = {We prove that a ring R is exchange 2-UU if, and only if, J(R) is nil and R/J(R)≅B×C, where B is a Boolean ring and C is a ring with C ⊆ Πμ ℤ₃ for some ordinal μ. We thus somewhat improve on a result due to Abdolyousefi-Chen (J. Algebra Appl., 2018) by showing that it is a simple consequence of already well-known results of Danchev-Lam (Publ. Math. Debrecen, 2016) and Danchev (Commun. Korean Math. Soc., 2017)., Article, Toyama mathematical journal, vol.39, 2017, Page 1-7}, pages = {1--7}, title = {On exchange π-UU unital rings}, volume = {39}, year = {2017} }