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
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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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- 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.