Closure operators and their middle - interchange law Dedicated to my
نویسندگان
چکیده
The paper presents a new definition of closure operator which encompasses the standard Dikranjan-Giuli notion, as well as the Bourn-Gran notion of normal closure operator. As is well known, any two closure operators C,D in a category may be composed in two ways: For a subobject M → X one may consider DX(CXM) or DCX(M)(M) as the value at M of a new closure operator D ·C or D ∗C, respectively. The two binary operations are linked by a lax middle-interchange law. This paper explores situations in which the law holds strictly.
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