T. Subedi

activity

20202026

collaborators

10 papers

math.RA2026

Nilpotent Product Probability of Finite Rings

Dibyasman Sarma, Tikaram Subedi

For a finite ring $R$ , we investigate the probability that the product of two randomly chosen elements in $R$ is nilpotent, which we call the nilpotent product probability (NPP) of…

math.RA2026

Semicommutativity via Zero-Insertive Elements: Insights from Path and Leavitt Path Algebras

Sanjiv Subba, Tikaram Subedi

In the path algebra $K E$ , where $K$ is a field and $E$ is a directed graph (or quiver), every non-loop edge can be expressed in the form $a r b$ , where $a, b, r \in K E$ and $ab = 0$ . This…

math.RA2025

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 $x$ of a ring $R$ zero insert…

math.RA2025

The probability that the product of k elements in a finite ring is zero

Dibyasman Sarma, Tikaram Subedi

In this paper, for a fixed integer $k \geq 2$ , we study the probability that the product of $k$ randomly chosen elements in a finite commutative ring $R$ is zero, which we denote by…

math.RA2025

NJ-symmetric rings

Sanjiv Subba, Tikaram Subedi

We call a ring $R$ NJ-symmetric if $ab c \in N (R)$ implies $ba c \in J (R)$ for any $a, b, c \in R$ . Some classes of rings that are NJ-symmetric include left (right) quasi-duo rings, weak…

math.RA2024

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…

math.RA2022

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…

math.RA2021

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…

math.RA2021

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…

math.RA2020

Symmetricity of rings relative to the prime radical

Debraj Roy, Tikaram Subedi

In this paper, we introduce and study a strict generalization of symmetric rings. We call a ring $R^{'} P - sy mm e t r i c^{'}$ if for any $a, b, c \in R, ab c = 0$ implies $bac\in P(R…