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Published in 2017 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498817501973
Abstract: 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…
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Keywords:
quadratic elements;
clean quadratic;
nil clean;