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Two-Quasi-Bijective Relation Algebras

In: Simple Relation Algebras

Author

Listed:
  • Steven Givant

    (Mills College, Department of Mathematics)

  • Hajnal Andréka

    (Alfréd Rényi Institute of Mathematics, Institute of Mathematics, Hungarian Academy of Sciences)

Abstract

We now apply the insertion semiproduct construction of Chapter 10 to extend some of the results in Chapter 6 concerning quasi-bijective relation algebras. Recall that a relation algebra is said to be quasi-bijective relation if it is atomic and if each rectangle with atomic sides is above at most one non-bijective atom. A complete description of these algebras is given in Structure Theorem 6.10, and a consequence of the description is that quasi-bijective relation algebras are always completely representable (see Representation Theorem 6.11).

Suggested Citation

  • Steven Givant & Hajnal Andréka, 2017. "Two-Quasi-Bijective Relation Algebras," Springer Books, in: Simple Relation Algebras, chapter 0, pages 483-521, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-67696-8_11
    DOI: 10.1007/978-3-319-67696-8_11
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