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Dominated Ideals and Baire Ideals in Complete Domains

Author

Listed:
  • Dănuţ Rusu

    (Faculty of Mathematics, Alexandru Ioan Cuza University, 700505 Iaşi, Romania)

  • Gabriel Ciobanu

    (Romanian Academy, 700481 Iaşi, Romania)

Abstract

We consider an operator G i , I generated by a given interior operator i and an ideal I . Among the properties of the operator G i , I , two properties denoted by P i and Q i are remarkable. The ideals with the property P i are called dominated ideals, and the ideals with the property Q i are called Baire ideals. We present methods of constructing dominated and Baire ideals, providing several examples and (topological) results in the framework of domain theory.

Suggested Citation

  • Dănuţ Rusu & Gabriel Ciobanu, 2024. "Dominated Ideals and Baire Ideals in Complete Domains," Mathematics, MDPI, vol. 12(21), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:21:p:3348-:d:1506688
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