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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

One of the principal focuses of research in the theory of relation algebras during the last sixty years has been on representation theorems, theorems which state that every relation algebra satisfying certain conditions is representable. A typical example is the theorem of Jónsson-Tarski [31] that every atomic relation algebra in which the atoms are all functional is representable; there is also an accompanying structural description of these algebras in terms of the complex algebras of Brandt groupoids.

Suggested Citation

  • Steven Givant & Hajnal Andréka, 2017. "Quasi-Bijective Relation Algebras," Springer Books, in: Simple Relation Algebras, chapter 0, pages 189-209, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-67696-8_6
    DOI: 10.1007/978-3-319-67696-8_6
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