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Carroll Guillory, "Douglas algebras without maximal subalgebra and without minimal superalgebra", Abstract and Applied Analysis, vol. 6, Article ID 620768, 11 pages, 2001. https://doi.org/10.1155/S1085337501000458
Douglas algebras without maximal subalgebra and without minimal superalgebra
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
Copyright
Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
