6 papers
A precise result on the arithmetic of non-principal orders in algebraic number fields
Andreas Philipp
Let be an order in an algebraic number field. If is a principal order, then many explicit results on its arithmetic are available. Among others, is half-factorial if an…
A characterization of arithmetical invariants by the monoid of relations II: The monotone catenary degree and applications to semigroup rings
Andreas Philipp
The investigation and classification of non-unique factorization phenomena has attracted some interest in recent literature. For finitely generated monoids, S.T. Chapman and P.A. G…
Arithmetic-Progression-Weighted Subsequence Sums
David J. Grynkiewicz, Andreas Philipp, Vadim Ponomarenko
Let be an abelian group, let be a sequence of terms not all contained in a coset of a proper subgroup of , and let be a sequence of cons…
On the Davenport constant and on the structure of extremal zero-sum free sequences
Alfred Geroldinger, Manfred Liebmann, Andreas Philipp
Let with $1 < n_1 \t ... \t n_r$ be a finite abelian group, , and let denote the maxi…
On the Olson and the Strong Davenport constants
Oscar Ordaz, Andreas Philipp, Irene Santos +1
A subset of a finite abelian group, written additively, is called zero-sumfree if the sum of the elements of each non-empty subset of is non-zero. We investigate the maxima…
A characterization of arithmetical invariants by the monoid of relations
Andreas Philipp
The investigation and classification of non-unique factorization phenomena have attracted some interest in recent literature. For finitely generated monoids, S.T. Chapman and P. Ga…