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math.RA2020
Amalgamation and extensions of summand absorbing modules over a semiring
Zur Izhakian, Manfred Knebusch
A submodule of is summand absorbing, if implies for any . Such submodules often appear in modules over (additively) idempot…
math.RA2020
Tropical linear representations of the Chinese monoid
Zur Izhakian, Glenn Merlet
We introduce a faithful tropical linear representation of the Chinese monoid, and thus prove that this monoid admits all the semigroup identities satisfied by tropical triangular m…