A Diagram of Galois Connections of Closure Operators

  • Gabriele Castellini
Part of the Mathematics: Theory & Applications book series (MTA)


In this chapter we bring further insight into the relationship between different types of closure operators and some related classes of M-subobjects. Indeed we obtain the following commutative diagram of Galois connections whose details will be explained in the sequel: We proceed to introduce all the involved Galois connections and then we show the commutativity of the diagram.


Commutative Diagram Closure Operator Direct Image Related Class Order Preserve 


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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Gabriele Castellini
    • 1
  1. 1.Department of Mathematics MayaguezUniversity of Puerto RicoPuerto RicoUSA

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