Hereditary Regular Closure Operators

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


We have already seen in the previous chapter that although always idempotent, regular closure operators need not be weakly hereditary or additive. In this chapter we provide some sufficient conditions for a regular closure operator to be hereditary. Some conditions that imply and are equivalent to weak heredity of a regular closure operator will be presented in the next chapter after the relationship between regular closure operators and epimorphisms has been cleared up.


Closure Operator Previous Chapter Torsion Theory Divisible Group Injective Object 
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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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