Amalgamation and extensions of summand absorbing modules over a semiring

Autor:	Zur Izhakian, Manfred Knebusch
Rok vydání:	2020
Předmět:	Pure mathematics Algebra and Number Theory Rings and Algebras (math.RA) Applied Mathematics Idempotence Direct sum decomposition FOS: Mathematics Mathematics - Rings and Algebras Extension (predicate logic) Indecomposable module Semiring Mathematics
DOI:	10.48550/arxiv.2007.06215
Popis:	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. Comment: 33 pages
Databáze:	OpenAIRE
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