3 papers
math.GR2026
On Strongly Hopfian Mixed Abelian Groups
Peter V. Danchev, Patrick W. Keef
The classes of abelian groups that are (uniformly) strongly Hopfian abelian groups, and dually, (uniformly) strongly co-Hopfian abelian groups have been studied by several authors,…
math.GR2025
On Some Versions of Hopficity for Abelian Groups
Peter V. Danchev, Patrick W. Keef
We completely describe in certain important cases the class of commutative co-finitely Hopfian groups as defined by Bridson-Groves-Hillman- Martin in the journal Groups, Geometry,…
math.RA2025
Skew Generalized Power Series Rings With the McCoy Property
Peter Danchev, M. Zahiri, S. Zahiri
Let be a ring, a strictly totally ordered monoid and suppose also is a monoid homomorphism. A skew generalized power series ring $…