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Douglas algebras without maximal subalgebra and without minimal superalgebra

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  • Carroll Guillory

Abstract

We give several examples of Douglas algebras that do not have any maximal subalgebra. We find a condition on these algebras that guarantees that some do not have any minimal superalgebra. We also show that if A is the only maximal subalgebra of a Douglas algebra B , then the algebra A does not have any maximal subalgebra.

Suggested Citation

  • Carroll Guillory, 2001. "Douglas algebras without maximal subalgebra and without minimal superalgebra," Abstract and Applied Analysis, Hindawi, vol. 6, pages 1-11, January.
    • Handle: RePEc:hin:jnlaaa:620768
    DOI: 10.1155/S1085337501000458
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