Amalgamation and extensions of summand absorbing modules over a semiring

Zur Izhakian* (Corresponding Author), Manfred Knebusch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A submodule W of V is summand absorbing, if x+y∈W implies x∈W,y∈W for any x,y∈V. Such submodules often appear in modules over (additively) idempotent semirings, particularly in tropical algebra. This paper studies amalgamation and extensions of these submodules, and more generally of upper bound modules.
Original languageEnglish
Article number2250124
Number of pages33
JournalJournal of Algebra and its Applications
Issue number6
Early online date18 Mar 2021
Publication statusPublished - Jun 2022


  • math.RA
  • semiring
  • lacking zero sums
  • Direct sum decomposition
  • free (semi)module
  • projective (semi)module
  • Indecomposable
  • semidirect complement
  • amalgamation
  • extension


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