2 papers
math.OC2026
Extended real number arithmetics via Dedekind cuts
Andreas H Hamel
It is shown how Dedekind cuts can be used to introduce the extended real numbers along with sound arithmetic laws via one simple rule for the addition of sets. The crucial idea is…
math.GR2023
Ideals of quasi-absorbing elements in semigroups
Rico Hager, Andreas H Hamel, Frank Heyde
Motivated by situations in which the removal of a zero (a.k.a., an absorbing element) from a semigroup yields a subsemigroup with another zero, sets of quasi-zeros (a.k.a., quasi-a…