7 papers
Semicommutativity via Zero-Insertive Elements: Insights from Path and Leavitt Path Algebras
Sanjiv Subba, Tikaram Subedi
In the path algebra , where is a field and is a directed graph (or quiver), every non-loop edge can be expressed in the form , where and . This…
Zero Insertive Nil Clean Rings
Sanjiv Subba, Tikaram Subedi
This paper investigates key properties of ZINC rings and their relationships with semicommutative and weakly semicommutative rings. We call an element of a ring zero insert…
NJ-symmetric rings
Sanjiv Subba, Tikaram Subedi
We call a ring NJ-symmetric if implies for any . Some classes of rings that are NJ-symmetric include left (right) quasi-duo rings, weak…
An Extension of Semicommutative Rings via Reflexivity
Sanjiv Subba, Tikaram Subedi
This article introduces the notion of an NJ-reflexive ring and demonstrates that it is distinct from the concept of a reflexive ring. The class of NJ-reflexive rings contains the c…
Pointwise Semicommutative Rings
Sanjiv Subba, Tikaram Subedi, A. M. Buhphang
We call a ring R pointwise semicommutative if for any element a in R either l(a) or r(a) is an ideal of R. A class of pointwise semicommutative rings is a strict generalization of…
LNZS Rings
Sanjiv Subba, Tikaram Subedi
This paper introduces a class of rings called left nil zero semicommutative rings ( LNZS rings ), wherein a ring R is said to be LNZS if the left annihilator of every nilpotent ele…
Nil-reversible rings
Sanjiv Subba, Tikaram Subedi
This paper introduces and studies nil-reversible rings wherein we call a ring R nil-reversible if the left and right annihilators of every nilpotent element of R are equal. Reversi…