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arXiv · 2007.06215

Amalgamation and extensions of summand absorbing modules over a semiring

Zur Izhakian·Manfred Knebusch
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Abstract

A submodule $W$ of $V$ is summand absorbing, if $x + y \in W$ implies $x \in W, \; y \in W $ for any $x, y \in V$. 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.

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Zur Izhakian, Manfred Knebusch. 2020-07-13. Amalgamation and extensions of summand absorbing modules over a semiring. https://arxiv.org/abs/2007.06215

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