On Diophantine monoids and their class groups.
From MaRDI portal
Publication:1879982
DOI10.2140/pjm.2002.207.125zbMath1060.20050OpenAlexW1968757433MaRDI QIDQ1879982
Eberhard Oeljeklaus, Ulrich Krause, Scott Thomas Chapman
Publication date: 16 September 2004
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2002.207.125
quotient groupsdivisor class groupssystems of linear Diophantine equationssets of solutionsDiophantine monoids
Related Items
Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic., Finding Elements With Given Factorization Lengths and Multiplicities, Inside factorial monoids and the Cale monoid of a linear Diophantine equation, Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid, The catenary and tame degree in finitely generated commutative cancellative monoids., On the arithmetic of Krull monoids with infinite cyclic class group, Bi-atomic classes of positive semirings, On congruence half-factorial Krull monoids with cyclic class group, Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group, Elasticities of Krull domains with finite divisor class group, A characterization of length-factorial Krull monoids, On a property of the division algorithm and its application to the theory of non-unique factorizations, ON DELTA SETS OF NUMERICAL MONOIDS, When Is a Puiseux Monoid Atomic?, On the number of factorizations of an element in an atomic monoid.