S-divisible modules over domains.
Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids
Arithmetical invariants—such as sets of lengths, catenary and tame degrees—describe the non-uniqueness of factorizations in atomic monoids.We study these arithmetical invariants by the monoid of relations and by presentations of the involved monoids. The abstract results will be applied to numerical monoids and to Krull monoids.
Semiprime factorizations in unions of Dedekind domains.
Semirigid GCD Domains.
Semivaluations and -groups
Some characterizations of v-domains and related properties
Some families of finite groups and their rings of invariants
Some remarks on Lorenzen -group of partly ordered groups
Special isomorphisms of preserving GCD and their use
On the ring of polynomials in n variables over a field special isomorphisms ’s of into are defined which preserve the greatest common divisor of two polynomials. The ring is extended to the ring and the ring of generalized polynomials in such a way that the exponents of the variables are non-negative rational numbers and rational numbers, respectively. The isomorphisms ’s are extended to automorphisms ’s of the ring . Using the property that the isomorphisms ’s preserve GCD it...
Subrings in trigonometric polynomial rings.