Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem

DOI10.1080/17476933.2021.1934677zbMath1504.46060arXiv1504.04486OpenAlexW3173325575MaRDI QIDQ5102323

Romesh Kumar, Kulbir Singh

Publication date: 6 September 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04486

zbMATH Keywords

maximal idealsbicomplex algebrabicomplex moduleshyperbolic-valued norm

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Banach algebras of continuous functions, function algebras (46J10) Ideals, maximal ideals, boundaries (46J20)

Cites Work

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• Bicomplex Numbers and their Elementary Functions
• Bicomplex Holomorphic Functions
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• Bicomplex holomorphic functional calculus

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