5 papers · 1 filter
New Results on Generalization of Jordan centralizers over matrix rings
Arindam Ghosh, Om Prakash, Sushma Singh
This paper presents a study on Jordan maps over matrix rings with some functional equations related to additive maps on these rings. We first show that every Jordan left (right) ce…
Extension of Almost Armendariz Rings
Sushma Singh, Om Prakash
A ring is said to be an almost Armendariz ring if whenever product of two polynomials in is zero, then product of their coefficients are in . In this article,…
A note on lower nil M-Armendariz rings
Sushma Singh, Om Prakash
In this article, we prove some results for lower nil M-Armendariz ring. Let M be a strictly totally ordered monoid and I be a semicommutative ideal of R. If R/I is a lower nil M-Ar…
Armendariz ring with weakly semicommutativity
Sushma Singh, Om Prakash
In this article, we introduce the weak ideal-Armendariz ring which combines Armendariz ring and weakly semicommutative properties of rings. In fact, it is a generalisation of an id…
On Almost Armendariz Rings
Sushma Singh, Om Prakash
In this paper, we introduce the notion of almost Armendariz ring which is the generalization of Armendariz ring and discuss some of its properties. We prove that a ring R is almost…