Even dimensional rhotrix

A. O. Isere
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 2, Pages 125–133
DOI: 10.7546/nntdm.2018.24.2.125-133
Full paper (PDF, 155 Kb)

Details

Authors and affiliations

A. O. Isere
Department of Mathematics, Ambrose Alli University
Ekpoma 310001, Nigeria

Abstract

A rhotrix is a rhomboidal array of numbers. In many respects, rhotrices are similar to matrices, and matrices, though, are of both even and odd dimensions but only rhotrices of odd dimension are well-known in literature. Even dimensional rhotrix has not been discussed. Therefore, this article introduces rhotrices with even dimension. These rhotrices are a special type of rhotrix where the heart has been extracted. Analysis, examples and some properties of these even-dimensional (heartless) rhotrices are presented and established as algebraic structures, mathematically tractable, and as a contribution to the concept of rhotrix algebra.

Keywords

• Rhotrix
• Missing heart
• Even dimension
• Examples and operations

2010 Mathematics Subject Classification

• 15B99

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