Commutative weakly nil-neat rings

Peter Danchev, Mahdi Samiei

We introduce and explore the notion of commutative {ı weakly nil-neat} rings as those rings whose proper homomorphic images are weakly nil-clean. Our characterization theorem completely gives a description of this class of rings and extends results due to Danchev-McGovern (J. Algebra, 2015) and Samiei (Novi Sad J. Math., 2019).