5 citations · 6 across the 4 of their papers we have counts for
4 papers
Rings whose Non-Invertible Elements are Strongly Nil-Clean
Peter Danchev, Omid Hasanzadeh, Arash Javan +1
We consider in-depth and characterize in certain aspects those rings whose non-units are strongly nil-clean in the sense that they are a sum of commuting nilpotent and idempotent.…
Rings with Quasinilpotent for Each Unit
Peter Danchev, Arash Javan, Omid Hasanzadeh +1
We define and explore in-depth the notion of {\it UQ rings} by showing their important properties and by comparing their behavior with that of the well-known classes of UU rings an…
Rings Whose Invertible Elements Are Weakly Nil-Clean
Peter Danchev, Omid Hasanzadeh, Arash Javan +1
We study those rings in which all invertible elements are weakly nil-clean calling them {\it UWNC rings}. This somewhat extends results due to Karimi-Mansoub et al. in Contemp. Mat…
Rings Whose Clean Elements Are Uniquely Strongly Clean
Peter Danchev, Omid Hasanzadeh, Ahmad Moussavi
We define the class of {\it CUSC} rings, that are those rings whose clean elements are uniquely strongly clean. These rings are a common generalization of the so-called {\it USC} r…