Maximal Ideals in a Bicomplex Algebra and Bicomplex Gelfand-Mazur Theorem
英文摘要：
In this paper we study the maximal ideals in a commutative ring of bicomplex numbers and then we describe the maximal ideals in a bicomplex algebra. We found that the kernel of a nonzero multiplicative BC-linear functional in a commutative bicomplex Banach algebra need not be a maximal ideal. Finally, we introduce the notion of bicomplex division algebra and generalize the Gelfand-Mazur theorem for the bicomplex division Banach algebra.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
