Nil-clean quadratic elements
2017 ◽
Vol 16
(10)
◽
pp. 1750197
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We provide a strong condition holding for nil-clean quadratic elements in any ring. In particular, our result implies that every nil-clean involution in a ring is unipotent. As a consequence, we give a complete classification of weakly nil-clean rings introduced recently in [Breaz, Danchev and Zhou, Rings in which every element is either a sum or a difference of a nilpotent and an idempotent, J. Algebra Appl. 15 (2016) 1650148, doi: 10.1142/S0219498816501486].
2016 ◽
Vol 31
(17)
◽
pp. 1650102
◽
2003 ◽
Vol 35
(6)
◽
pp. 1059-1076
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Keyword(s):
1987 ◽
Vol 29
(2)
◽
pp. 185-196
◽
Keyword(s):