Characterization of ideals of rhotrices over a ring and its applications

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
Full paper (PDF, 236 Kb)

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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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