Completely right pure monoids on which ℋ is a right congruence
Victoria Gould
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Source: Crossref
Published: Mar 1, 1990
DOI: 10.1017/s0305004100068559
Open original source ↗Source abstract
An S -system over a monoid S is a set A together with a function ø: A × S → A such that ( a , 1) ø = a and ( a, st) ø = (( a, s) ø, t ) ø for all a ∈ A and for all s, t ∈ S . So an S -system is a set on which S acts unitarily on the right. For ( a, s ) ø we write simply as : the notions of S -homomorphism, S -subsystem etc. are defined in the obvious manner. Many papers have been written characterizing monoids by properties of their S -systems; here we are concerned with injectivity and a related concept, absolute purity. Further details of the terms we use are given in Section 2.
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