AbstractAmong other results, we obtain here a normal atomic domain A such that A[X] is not atomic but any reducible element in A is a product of two irreducible elements (an atomic domain is a domain in which every nonzero nonunit is a product of irreducible elements)
The objective of this dissertation was to determine the class of domains that are both almost Dedeki...
Abstract. Let H be an atomic monoid. For k 2N let VkðHÞ denote the set of all m2N with the following...
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...
AbstractLet A be a commutative domain. We prove that both implications Aatomic⇒A[[X]]atomic, and A[[...
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...
AbstractWe show in this paper that given any reduced, cancellative, torsion-free, atomic monoid, it ...
Abstract. In this paper we generalize the standard notion of “unique fac-torization domains ” (UFDs)...
Abstract. We show in this paper that given any reduced, cancellative, torsionfree, atomic monoid, it...
summary:We explore the connection between atomicity in Prüfer domains and their corresponding class ...
A half-factorial domain, R, is an atomic integral domain where given any two products of irreducible...
AbstractLet R be an atomic integral domain. Suppose that H is a nonempty subset of irreducible eleme...
AbstractLet D be an integral domain in which each nonzero nonunit can be written as a finite product...
An integral domain $R$ is atomic if each nonzero nonunit of $R$ factors into irreducibles. In additi...
The objective of this dissertation was to determine the class of domains that are both almost Dedeki...
Abstract. Let H be an atomic monoid. For k 2N let VkðHÞ denote the set of all m2N with the following...
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...
AbstractLet A be a commutative domain. We prove that both implications Aatomic⇒A[[X]]atomic, and A[[...
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...
AbstractWe show in this paper that given any reduced, cancellative, torsion-free, atomic monoid, it ...
Abstract. In this paper we generalize the standard notion of “unique fac-torization domains ” (UFDs)...
Abstract. We show in this paper that given any reduced, cancellative, torsionfree, atomic monoid, it...
summary:We explore the connection between atomicity in Prüfer domains and their corresponding class ...
A half-factorial domain, R, is an atomic integral domain where given any two products of irreducible...
AbstractLet R be an atomic integral domain. Suppose that H is a nonempty subset of irreducible eleme...
AbstractLet D be an integral domain in which each nonzero nonunit can be written as a finite product...
An integral domain $R$ is atomic if each nonzero nonunit of $R$ factors into irreducibles. In additi...
The objective of this dissertation was to determine the class of domains that are both almost Dedeki...
Abstract. Let H be an atomic monoid. For k 2N let VkðHÞ denote the set of all m2N with the following...
summary:A nonzero $R$-module $M$ is atomic if for each two nonzero elements $a, b$ in $M$, both cycl...
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