A. O. Isere

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 25, 2019, Number 1, Pages 206–219

DOI: 10.7546/nntdm.2019.25.1.206-219

**Full paper (PDF, 187 Kb)**

## Details

### Authors and affiliations

A. O. Isere

*Department of Mathematics, Ambrose Alli University
Ekpoma, 310001, Nigeria
*

### Abstract

The multiplication of higher even-dimensional rhotrices is presented and generalized. The concept of empty rhotrix, and the necessary and sufficient conditions for an even-dimensional rhotrix to be represented over a linear map, are investigated and presented.

### Keywords

- Even-dimensional rhotrix
- Representation
- Empty rhotrix
- Multiplication
- Linear map

### 2010 Mathematics Subject Classification

- 15B99

### References

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## Related papers

- Mohammed, A., & Okon, U. E. (2016). On subgroups of non-commutative general rhotrix group.
*Notes on Number Theory and Discrete Mathematics*, 22(2), 72-90. - Isere, A. O. (2018). Even dimensional rhotrix.
*Notes on Number Theory and Discrete Mathematics*, 24(2), 125-133. - Patil, K. M. (2021). Characterization of ideals of rhotrices over a ring and its applications.
*Notes on Number Theory and Discrete Mathematics*, 27(1), 138-147.

## Cite this paper

Isere, A. O. (2019). Representation of higher even-dimensional rhotrix. *Notes on Number Theory and Discrete Mathematics*, 25(1), 206-219, DOI: 10.7546/nntdm.2019.25.1.206-219.