13 citations · 20 across the 4 of their papers we have counts for
4 papers
Structure theorem for generalized corner rings
Nik Stopar
We apply recent results on the rank of elements of rings to study the structure of generalized corner rings , where is a unital ring and an element of . We give a c…
Rank of elements of general rings in connection with unit-regularity
Nik Stopar
We define the rank of elements of general unital rings, discuss its properties and give several examples to support the definition. In semiprime rings we give a characterization of…
Categorial properties of compressed zero-divisor graphs of finite commutative rings
Alen Đurić, Sara Jevđenić, Nik Stopar
We define a compressed zero-divisor graph of a finite commutative unital ring , where the compression is performed by means of the associatedness relation. We pro…
The total zero-divisor graph of commutative rings
Alen Đurić, Sara Jevđenić, Polona Oblak +1
In this paper we initiate the study of the total zero-divisor graphs over commutative rings with unity. These graphs are constructed by both relations that arise from the zero-divi…