AbstractFor an integral domain R and a non-zero non-unit a ∈ R we denote by l∗(a) the minimal and by l∗(a) the maximal length of a factorization of a into irreducible elements. In this paper, the quantities 1nl∗(an) and 1nl∗(an) are studied for n→∞, in particular for Krull and certain neotherian domains
Let D be a Dedekind domain with finite class group G. Let α be a nonzero nonunit of D and suppose β1...
Let D be a Dedekind domain with finite class group G. Let α be a nonzero nonunit of D and suppose β1...
a factorization into a product of irreducible elements. In general, such a factorization need not be...
AbstractLet D be an integral domain in which each nonzero nonunit can be written as a finite product...
Let D be an integral domain in which each nonzero nonunit can be written as a finite product of irre...
AbstractWe show that ideal-length defines a length function on almost-Noetherian integral domains. T...
We consider and solve some open conjectures on the asymptotic behavior of the number of different nu...
AbstractWe show that ideal-length defines a length function on almost-Noetherian integral domains. T...
AbstractIn this paper, we study factorization in an integral domain R, that is, factoring elements o...
Let M be a commutative cancellative atomic monoid. We consider the behavior of the asymptotic lengt...
Abstract. Let M be a commutative cancellative atomic monoid. We use unions of sets of lengths in M t...
Abstract. Let H be a Krull monoid with finite class group G. Then every non-unit a ∈ H can be writte...
Abstract. In this paper we characterize monoid S; integral domain D and monoid domain D[S] as bounde...
AbstractFor an atomic integral domain R, defineϱ(R)=sup{m⧸n|x1⋯xm=y1⋯yn, each xi,yjϵR is irreducible...
We study decompositions of length functions on integral domains as sums of length functions construc...
Let D be a Dedekind domain with finite class group G. Let α be a nonzero nonunit of D and suppose β1...
Let D be a Dedekind domain with finite class group G. Let α be a nonzero nonunit of D and suppose β1...
a factorization into a product of irreducible elements. In general, such a factorization need not be...
AbstractLet D be an integral domain in which each nonzero nonunit can be written as a finite product...
Let D be an integral domain in which each nonzero nonunit can be written as a finite product of irre...
AbstractWe show that ideal-length defines a length function on almost-Noetherian integral domains. T...
We consider and solve some open conjectures on the asymptotic behavior of the number of different nu...
AbstractWe show that ideal-length defines a length function on almost-Noetherian integral domains. T...
AbstractIn this paper, we study factorization in an integral domain R, that is, factoring elements o...
Let M be a commutative cancellative atomic monoid. We consider the behavior of the asymptotic lengt...
Abstract. Let M be a commutative cancellative atomic monoid. We use unions of sets of lengths in M t...
Abstract. Let H be a Krull monoid with finite class group G. Then every non-unit a ∈ H can be writte...
Abstract. In this paper we characterize monoid S; integral domain D and monoid domain D[S] as bounde...
AbstractFor an atomic integral domain R, defineϱ(R)=sup{m⧸n|x1⋯xm=y1⋯yn, each xi,yjϵR is irreducible...
We study decompositions of length functions on integral domains as sums of length functions construc...
Let D be a Dedekind domain with finite class group G. Let α be a nonzero nonunit of D and suppose β1...
Let D be a Dedekind domain with finite class group G. Let α be a nonzero nonunit of D and suppose β1...
a factorization into a product of irreducible elements. In general, such a factorization need not be...
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