Complex dimension of additive subgroups of R^{n}
Yahya N'Dao, Adlene Ayadi
TL;DR
This paper introduces the concept of complex dimension for additive subgroups of R^n, extending Euclidean dimension, and provides a method for calculating this new dimension.
Contribution
It defines a novel complex dimension for additive subgroups of R^n and offers an explicit calculation method, generalizing Euclidean dimension.
Findings
Defined the complex dimension for additive subgroups of R^n
Provided an explicit calculation method for the complex dimension
Generalized Euclidean dimension to a broader class of subgroups
Abstract
In this paper, we define the complex dimension of any additive subgroup of R^{n}$which generalize the euclidien dimension given for the vector space. We give an explicit method to calculate this dimension.
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Taxonomy
TopicsGraph Labeling and Dimension Problems · Advanced Topology and Set Theory · Algebraic Geometry and Number Theory