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Coherent Monoids

In: Lattices, Semigroups, and Universal Algebra

Author

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  • Sydney Bulman-Fleming

    (Wilfrid Laurier University, Department of Mathematics)

  • Kenneth McDowell

    (Wilfrid Laurier University, Department of Mathematics)

Abstract

Let S be a monoid. A (imitai) right S-set A is called (principally) weakly flat if the functor A ⊕ — preserves embeddings of (principal) left ideals into S, and flat if this functor preserves all embeddings of left S-sets. S is called (weakly) (left, right) absolutely flat if all (left, right) S-sets are (weakly) flat. Our paper [3] contains results which will be used in the sequel, and is also suggested as a general reference on flatness.

Suggested Citation

  • Sydney Bulman-Fleming & Kenneth McDowell, 1990. "Coherent Monoids," Springer Books, in: Jorge Almeida & Gabriela Bordalo & Philip Dwinger (ed.), Lattices, Semigroups, and Universal Algebra, pages 29-37, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-2608-1_4
    DOI: 10.1007/978-1-4899-2608-1_4
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