Neutrosophic Vector Spaces
Neutrosophic Vector Spaces
复制标题
中智向量空间
DOI：
10.5281/zenodo.22603
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
S. Akinleye
中科院分区：
文献类型：
--
作者：
Agboola A.A.A.;S. Akinleye
本文的目的是研究中智向量空间。概括了经典向量空间的一些基本定义和性质。结果表明，中智场（或场）上的每个中智向量空间都是向量空间。此外，还表明，中智场上的中智向量空间的元素可以无限地表示为中智向量空间的某些元素的线性组合。还研究了中智商空间和中智向量空间同态。
The objective of this paper is to study neutrosophic vector spaces. Some basic definitions and properties of the classical vector spaces are generalized. It is shown that every neutrosophic vector space over a neutrosophic field (resp. a field) is a vector space. Also, it is shown that an element of a neutrosophic vector space over a neutrosophic field can be infinitely expressed as a linear combination of some elements of the neutrosophic vector space. Neutrosophic quotient spaces and neutrosophic vector space homomorphism are also studied.