DOIAbstract
AbstractWe study examples of atomic domains which fail to satisfy the a.c.c. on principal ideals
AbstractWe study examples of atomic domains which fail to satisfy the a.c.c. on principal ideals
AbstractIn this paper we generalize the standard notion of unique factorization domains to the nonat...
A ring D is called an SFT ring if for each ideal I of D, there exist a finitely generated ideal J of...
This thesis is an investigation of some of the properties of polynomial rings, unique factorization ...
AbstractWe study examples of atomic domains which fail to satisfy the a.c.c. on principal ideals
summary:A nonzero $R$-module $M$ is atomic if for each two nonzero elements $a, b$ in $M$, both cycl...
AbstractAmong other results, we obtain here a normal atomic domain A such that A[X] is not atomic bu...
An integral domain $R$ is atomic if each nonzero nonunit of $R$ factors into irreducibles. In additi...
Copyright c © 2013 Conan Wong. This is an open access article distributed under the Creative Commons...
AbstractLet A be a commutative domain. We prove that both implications Aatomic⇒A[[X]]atomic, and A[[...
summary:We explore the connection between atomicity in Prüfer domains and their corresponding class ...
In this dissertation, we examine atomicity in rings with zero divisions. We begin by examining the r...
A classical problem, originated by Cohn's 1966 paper [1], is to characterize the integral domains R ...
Frohn D. A (K)-ring satisfying the ascending chain condition on principal ideals that is not a princ...
For a frame $L$, consider the $f$-ring $ mathcal{F}_{mathcal P}L=Frm(mathcal{P}(mathbb R), L)$. In t...
Abstract. In a factorial domain every nonzero element has only finitely many prime divisors. We stud...
AbstractIn this paper we generalize the standard notion of unique factorization domains to the nonat...
A ring D is called an SFT ring if for each ideal I of D, there exist a finitely generated ideal J of...
This thesis is an investigation of some of the properties of polynomial rings, unique factorization ...
AbstractWe study examples of atomic domains which fail to satisfy the a.c.c. on principal ideals
summary:A nonzero $R$-module $M$ is atomic if for each two nonzero elements $a, b$ in $M$, both cycl...
AbstractAmong other results, we obtain here a normal atomic domain A such that A[X] is not atomic bu...
An integral domain $R$ is atomic if each nonzero nonunit of $R$ factors into irreducibles. In additi...
Copyright c © 2013 Conan Wong. This is an open access article distributed under the Creative Commons...
AbstractLet A be a commutative domain. We prove that both implications Aatomic⇒A[[X]]atomic, and A[[...
summary:We explore the connection between atomicity in Prüfer domains and their corresponding class ...
In this dissertation, we examine atomicity in rings with zero divisions. We begin by examining the r...
A classical problem, originated by Cohn's 1966 paper [1], is to characterize the integral domains R ...
Frohn D. A (K)-ring satisfying the ascending chain condition on principal ideals that is not a princ...
For a frame $L$, consider the $f$-ring $ mathcal{F}_{mathcal P}L=Frm(mathcal{P}(mathbb R), L)$. In t...
Abstract. In a factorial domain every nonzero element has only finitely many prime divisors. We stud...
AbstractIn this paper we generalize the standard notion of unique factorization domains to the nonat...
A ring D is called an SFT ring if for each ideal I of D, there exist a finitely generated ideal J of...
This thesis is an investigation of some of the properties of polynomial rings, unique factorization ...
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