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We study the conditions on the subspaces of an algebra to be complemented by an ideal. A number of results are obtained in cases of algebra of continuous function, algebra of polynomials in several variables and an algebra of matrices.

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On Linear Spaces with Ideal Complements

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  • 发表日期：

    2026年

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  • Boris Shekhtman

摘要

We study the conditions on the subspaces of an algebra to be complemented by an ideal. A number of results are obtained in cases of algebra of continuous function, algebra of polynomials in several variables and an algebra of matrices.