Amalgamation and extensions of summand absorbing modules over a semiring

Zur Izhakian; Manfred Knebusch

doi:10.1142/S0219498822501249

Amalgamation and extensions of summand absorbing modules over a semiring

Zur Izhakian, Manfred Knebusch

Research output: Contribution to journal › Article › peer-review

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Abstract

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 language	English
Article number	2250124
Journal	Journal of Algebra and its Applications
Volume	21
Issue number	6
DOIs	https://doi.org/10.1142/S0219498822501249
State	Published - 1 Jun 2022
Externally published	Yes

Keywords

Semiring
amalgamation
direct sum decomposition
extension
free (semi) module
indecomposable
lacking zero sums
projective (semi) module
semidirect complement

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10.1142/S0219498822501249

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Amalgamation and extensions of summand absorbing modules over a semiring

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Keywords

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