5 citations · 6 across the 4 of their papers we have counts for
4 papers · 1 filter
Rings Whose Non-Invertible Elements are Weakly Nil-Clean
Peter Danchev, Arash Javan, Omid Hasanzadeh +1
In regard to our recent studies of rings with (strongly, weakly) nil-clean-like properties, we explore in-depth both the structural and characterization properties of those rings w…
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 Clean and Nil-Clean Elements Have Some Clean-Like Properties
Peter Danchev, Arash Javan, Ahmad Moussavi
We define two types of rings, namely the so-called CSNC and NCUC that are those rings whose clean elements are strongly nil-clean, respectively, whose nil-clean elements are unique…