AbstractLet R be a ring and let R[x] denote the polynomial ring over R. We study relations between the set of annihilators in R and the set of annihilators in R[x]
In this article we formalize in Mizar [1], [2] a derivation of commutative rings, its definition and...
AbstractLet R be a prime ring with extended centroid C and symmetric Martindale quotient ring Qs(R)....
AbstractA criterion is presented which is easy to check in specific examples and provides informatio...
We consider the following condition (*) on an associative ring R: (*). There exists a function f fro...
summary:In this paper we investigate commutativity of rings with unity satisfying any one of the pro...
summary:In this paper we investigate commutativity of rings with unity satisfying any one of the pro...
AbstractIn this corrigendum, I correct a mild error in a technical lemma of Yengui (2006) [5]. This ...
Let (R, m) denote a Noetherian, local ring R with maximal ideal m. Let I and J be ideals contained i...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
summary:Let $R$ be a prime ring of char $R\ne 2$ with a nonzero derivation $d$ and let $U$ be its no...
summary:Let $R$ be a prime ring of char $R\ne 2$ with a nonzero derivation $d$ and let $U$ be its no...
summary:Let $p$, $ q$ and $r$ be fixed non-negative integers. In this note, it is shown that if $R$...
summary:Let $p$, $ q$ and $r$ be fixed non-negative integers. In this note, it is shown that if $R$...
AbstractLet R be a 2-torsion free prime ring, J a nonzero Jordan ideal of R and F be a generalized d...
AbstractWe give a lower bound for the dimension of a faithful module over a finite dimensional algeb...
In this article we formalize in Mizar [1], [2] a derivation of commutative rings, its definition and...
AbstractLet R be a prime ring with extended centroid C and symmetric Martindale quotient ring Qs(R)....
AbstractA criterion is presented which is easy to check in specific examples and provides informatio...
We consider the following condition (*) on an associative ring R: (*). There exists a function f fro...
summary:In this paper we investigate commutativity of rings with unity satisfying any one of the pro...
summary:In this paper we investigate commutativity of rings with unity satisfying any one of the pro...
AbstractIn this corrigendum, I correct a mild error in a technical lemma of Yengui (2006) [5]. This ...
Let (R, m) denote a Noetherian, local ring R with maximal ideal m. Let I and J be ideals contained i...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
summary:Let $R$ be a prime ring of char $R\ne 2$ with a nonzero derivation $d$ and let $U$ be its no...
summary:Let $R$ be a prime ring of char $R\ne 2$ with a nonzero derivation $d$ and let $U$ be its no...
summary:Let $p$, $ q$ and $r$ be fixed non-negative integers. In this note, it is shown that if $R$...
summary:Let $p$, $ q$ and $r$ be fixed non-negative integers. In this note, it is shown that if $R$...
AbstractLet R be a 2-torsion free prime ring, J a nonzero Jordan ideal of R and F be a generalized d...
AbstractWe give a lower bound for the dimension of a faithful module over a finite dimensional algeb...
In this article we formalize in Mizar [1], [2] a derivation of commutative rings, its definition and...
AbstractLet R be a prime ring with extended centroid C and symmetric Martindale quotient ring Qs(R)....
AbstractA criterion is presented which is easy to check in specific examples and provides informatio...
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