Archimedean classes in additive monoids

Zur Izhakian; Manfred Knebusch

doi:10.1142/S0219498825500148

Archimedean classes in additive monoids

Zur Izhakian, Manfred Knebusch

Department of Mathematics

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

Abstract

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 language	English
Article number	2550014
Journal	Journal of Algebra and its Applications
DOIs	https://doi.org/10.1142/S0219498825500148
State	Accepted/In press - 2023

Keywords

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

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10.1142/S0219498825500148

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KW - decomposition

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KW - height function

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KW - lacking zero sums

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Archimedean classes in additive monoids

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Keywords

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