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Zerosumfree半环上半线性空间的基

, PP. 7-11

Keywords: Zerosumfree半环,半线性空间,基数

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Abstract:

主要讨论了Zerosumfree半环上半线性空间基的基数问题.首先,介绍了半环上不可约有限分解的概念,然后研究了Zerosumfree半环上n维向量半线性空间中基的基数,并给出了基数为n的一系列等价条件,从而部分回答A.DiNola等在其论文(FuzzySetsandSystems,2007,1581-22.)中提出的开问题.

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