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)
Abstract. Let H be an atomic monoid. For k 2N let VkðHÞ denote the set of all m2N with the following...
An integral domain D is atomic if every non-zero non-unit is a product of irreducibles. More general...
Abstract. We show in this paper that given any reduced, cancellative, torsionfree, atomic monoid, it...
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 ...
AbstractLet A be a UFD and I be an ideal of A. We study the elasticity of atomic domains of the form...
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...
In this dissertation, we examine atomicity in rings with zero divisions. We begin by examining the r...
AbstractLet A ⊂ B be an extension of integral domains and X be an indeterminate over B. In this pape...
summary:A nonzero $R$-module $M$ is atomic if for each two nonzero elements $a, b$ in $M$, both cycl...
Abstract. In this paper we generalize the standard notion of “unique fac-torization domains ” (UFDs)...
Abstract. Let H be an atomic monoid. For k 2N let VkðHÞ denote the set of all m2N with the following...
An integral domain D is atomic if every non-zero non-unit is a product of irreducibles. More general...
Abstract. We show in this paper that given any reduced, cancellative, torsionfree, atomic monoid, it...
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 ...
AbstractLet A be a UFD and I be an ideal of A. We study the elasticity of atomic domains of the form...
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...
In this dissertation, we examine atomicity in rings with zero divisions. We begin by examining the r...
AbstractLet A ⊂ B be an extension of integral domains and X be an indeterminate over B. In this pape...
summary:A nonzero $R$-module $M$ is atomic if for each two nonzero elements $a, b$ in $M$, both cycl...
Abstract. In this paper we generalize the standard notion of “unique fac-torization domains ” (UFDs)...
Abstract. Let H be an atomic monoid. For k 2N let VkðHÞ denote the set of all m2N with the following...
An integral domain D is atomic if every non-zero non-unit is a product of irreducibles. More general...
Abstract. We show in this paper that given any reduced, cancellative, torsionfree, atomic monoid, it...
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