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The closed subalgebras of a topological algebra

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Conclusion

There are some interesting related problems which we have not solved One is to characterize the family of all closed subalgebras in the case where it is assumed that the algebraic operations are continuous in the topology. If the operations are not determined uniquely by the family of closed subalgebras, is there at least one determination in which they are continuous ? Another problem is to characterize the families of finitely generated closed subalgebras of a topological algebra.

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Author notes

  1. Orrin Frink

    Present address: College of the Liberal Arts Department of Mathematics, The Pennsylvania State University, 230 McAllister Building, University Park, Pa., USA

Authors and Affiliations

  1. College of the Liberal Arts Department of Mathematics, The Pennsylvania State University, 230 McAllister Building, University Park, Pa., USA

    George Grätzer

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  1. Orrin Frink
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  2. George Grätzer
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Supported by National Science Foundation Research Grant GP-3132.

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Frink, O., Grätzer, G. The closed subalgebras of a topological algebra. Arch. Math 17, 154–158 (1966). https://doi.org/10.1007/BF01899859

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