Archimedean classes in additive monoids

Zur Izhakian, Manfred Knebusch

Research output: Contribution to journalArticlepeer-review


Summand absorbing submodules are common in modules over (additively) idempotent semirings, for example, in tropical algebra. A submodule €W of €V is summand absorbing, if €x + y W implies €x W,y W for any €x,y V. This paper proceeds the study of these submodules, and more generally of additive monoids, with emphasis on their archimedean classes and quotient structures.

Original languageEnglish
Article number2550014
JournalJournal of Algebra and its Applications
StateAccepted/In press - 2023


  • Additive monoid
  • archimedean class
  • archimedean quasiordering
  • convex hull
  • decomposition
  • flock
  • height function
  • indecomposable
  • lacking zero sums
  • module
  • semiring
  • summand absorbing


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