arXiv subjects

Hamid H. S. Javadi

Publications and source records attributed to Hamid H. S. Javadi.

4 recordsLinked to original sources

arXiv2014

On a generalization of McCoy Rings

We introduce Central McCoy rings, which are a generalization of McCoy rings and investigate their properties. For a ring R, we prove that R is right Central McCoy if and only if the polynomial ring R[x] is right Central McCoy. Also, we give some examples to show that if R is right Central McCoy, then Mn(R) and Tn(R) are not necessary right Central McCoy, but Dn(R) and Vn(R) are right Central McCoy, where Dn(R) and Vn(R) are the subrings of the triangular matrices with constant main diagonal and constant main diagonals, respectively.

math.RA↗

arXiv2014

On a generalization of NC-McCoy Rings

In the present paper we concentrate on a natural generalization of NC-McCoy rings that is called J-McCoy and investigate their properties. We prove that local rings are J-McCoy. Also, for an abelian ring R, we show that R is J-McCoy if and only if eR is J-McCoy, where e is an idempotent element of R. Moreover, we give an example to show that the J-McCoy property does not pass Mn(R), but S(R; n);A(R; n);B(R; n) and T(R; n) are J-McCoy

math.RA↗

arXiv2014

On A Generalization of Weak Armendariz Rings

We introduce the notion of J-Armendariz rings, which are a generalization of weak Armendariz rings and investigate their properties. We show that any local ring is J-Armendariz, and then fined a local ring that is not weak Armendariz.

math.RA↗

arXiv2014

On Central Skew Armendariz rings

For a ring endomirphism, we introduce the central skew Armendariz rings, which are a generalization of skew Armendariz rings and central Armendariz rings, and investigate their properties.

math.RA↗