Kailash M. Patil

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 27, 2021, Number 1, Pages 138—147

DOI: 10.7546/nntdm.2021.27.1.138-147

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## Details

### Authors and affiliations

Kailash M. Patil

*Department of Mathematics, Dharmsinh Desai University
Nadiad, Gujarat 387001, India
*

### Abstract

We define higher order rhotrices over a commutative unital ring and obtain a ring of rhotrices of the order . We characterize the ideals and maximal ideals of . As a particular case, we record ideals of rhotrix rings over integers and rhotrix algebras over complex plane . As an application, we characterize the maximal ideals of the commutative unital Banach algebra .

### Keywords

- Rhotrix over a ring
- Unital ring
- Maximal ideal
- Banach algebra

### 2010 Mathematics Subject Classification

- 15B99
- 46J20

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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.
- Isere, A. O. (2019). Representation of higher even-dimensional rhotrix. Notes on Number Theory and Discrete Mathematics, 25(1), 206-219.

## Cite this paper

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, doi: 10.7546/nntdm.2021.27.1.138-147.