summary:Let $R$ be a commutative ring with identity. If a ring $R$ is contained in an arbitrary union of rings, then $R$ is contained in one of them under various conditions. Similarly, if an arbitrary intersection of rings is contained in $R$, then $R$ contains one of them under various conditions
summary:In this paper we investigate commutativity of rings with unity satisfying any one of the pro...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
Abstract. Let R be an associative ring with identity 1 and J(R) the Jacob-son radical of R. Suppose ...
summary:Let $R$ be a commutative ring with identity. If a ring $R$ is contained in an arbitrary unio...
This thesis falls into two parts, namely Chapter 1 and Chapter 2, which are completely separate. A ...
Topics include: Rings, ideals, algebraic sets and affine varieties, modules, localizations, tensor p...
In this article, we investigate the avoidance property of ideals and rings. Among the main results, ...
summary:Suppose that $R$ is an associative ring with identity $1$, $J(R)$ the Jacobson radical of $...
summary:Let $R$ be an associative ring with identity $1$ and $J(R)$ the Jacobson radical of $R$. Sup...
Below I examine the meaning of condition (*) in any (not necessarily associative) ring and show that...
In this paper, we generalize some well-known commutativity theorems for associative rings as follows...
The main aim of this project is to learn a branch of Mathematics that studies commutative rings with...
[No abstract available]293285296Anderson, Dobbs, Pairs of rings with the same prime ideals (1980) Ca...
summary:Let $p$, $ q$ and $r$ be fixed non-negative integers. In this note, it is shown that if $R$...
summary:Let $m > 1, s\geq 1$ be fixed positive integers, and let $R$ be a ring with unity $1$ in whi...
summary:In this paper we investigate commutativity of rings with unity satisfying any one of the pro...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
Abstract. Let R be an associative ring with identity 1 and J(R) the Jacob-son radical of R. Suppose ...
summary:Let $R$ be a commutative ring with identity. If a ring $R$ is contained in an arbitrary unio...
This thesis falls into two parts, namely Chapter 1 and Chapter 2, which are completely separate. A ...
Topics include: Rings, ideals, algebraic sets and affine varieties, modules, localizations, tensor p...
In this article, we investigate the avoidance property of ideals and rings. Among the main results, ...
summary:Suppose that $R$ is an associative ring with identity $1$, $J(R)$ the Jacobson radical of $...
summary:Let $R$ be an associative ring with identity $1$ and $J(R)$ the Jacobson radical of $R$. Sup...
Below I examine the meaning of condition (*) in any (not necessarily associative) ring and show that...
In this paper, we generalize some well-known commutativity theorems for associative rings as follows...
The main aim of this project is to learn a branch of Mathematics that studies commutative rings with...
[No abstract available]293285296Anderson, Dobbs, Pairs of rings with the same prime ideals (1980) Ca...
summary:Let $p$, $ q$ and $r$ be fixed non-negative integers. In this note, it is shown that if $R$...
summary:Let $m > 1, s\geq 1$ be fixed positive integers, and let $R$ be a ring with unity $1$ in whi...
summary:In this paper we investigate commutativity of rings with unity satisfying any one of the pro...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
Abstract. Let R be an associative ring with identity 1 and J(R) the Jacob-son radical of R. Suppose ...
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