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Special elements

In: Introduction to Relation Algebras

Author

Listed:
  • Steven Givant

    (Mills College, Department of Mathematics)

Abstract

We now turn to the study of more specialized laws. As was seen in Section 1.4, special properties of binary relations such as symmetry or functionality can often be expressed by means of equations in the language of relation algebras, and it is natural to formulate and study laws that apply to elements satisfying abstract versions of these properties. In the first three sections below, we look at abstract versions of properties associated with symmetric relations, transitive relations, and equivalence relations. In subsequent sections, we look at abstract versions of properties associated with various types of ideal elements, with rectangles, and with functions.

Suggested Citation

  • Steven Givant, 2017. "Special elements," Springer Books, in: Introduction to Relation Algebras, chapter 0, pages 141-228, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-65235-1_5
    DOI: 10.1007/978-3-319-65235-1_5
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