Coherent Monoids

Sydney Bulman-Fleming and Kenneth McDowell
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Sydney Bulman-Fleming: Wilfrid Laurier University, Department of Mathematics
Kenneth McDowell: Wilfrid Laurier University, Department of Mathematics

A chapter in Lattices, Semigroups, and Universal Algebra, 1990, pp 29-37 from Springer

Abstract: 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.

Keywords: Left Ideal; Simple Semigroup; Commutative Monoid; Full Transformation; Coherent Ring (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-1-4899-2608-1_4

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