论文标题
汇总和汇总的汇总，吸收半段的模块
Amalgamation and extensions of summand absorbing modules over a semiring
论文作者
论文摘要
如果$ x + y \在w $中，则可以吸收$ v $的suppoule $ w $ of $ v $，\ y \ y in the w $ x \ in w，\; y \ in W $对于任何$ x，y \ in V $。这些子模块通常出现在（添加性）基于能，尤其是在热带代数中的模块中。本文研究了这些子模块的合并和扩展，更普遍地是上限模块的。
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.
