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arXiv 1301.0764math.GR
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群胚的半内积结构

Semi-inner product structures for groupoids

Piotr Multarzyński

摘要:

本文考虑了一些标值群胚双同态结构,它们实际上是最初为向量定义的内积概念的对应群胚。这些双同态,这里称为群胚的半内积,确定满足群胚范数概念[2]所假设的公理的非负实值函数。

英文摘要:

In this paper there are considered some scalar valued groupoid bihomomorphism structures, being in fact the groupoid counterparts of the inner product notion originally defined for vectors. These bihomomorphisms, called here the semi-inner products for groupoids, determine non-negative real valued functions which fulfill the axioms assumed for a groupoid norm concept [2].

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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