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Monoids over which all weakly flat acts are flat

Published online by Cambridge University Press:  20 January 2009

Sydney Bulman-Fleming  and
Kenneth McDowell
Sydney Bulman-Fleming
Affiliation:
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada, N2L 3C5
Kenneth McDowell
Affiliation:
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada, N2L 3C5
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Abstract

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If R is a ring with identity and M is a left R-module then it is well known that the following statements are equivalent:

(1) M is flat.

(2) The functor −⊗M preserves embeddings of right ideals into R.

This paper investigates situations in which the analogous statements are equivalent in the context of S-sets over a monoid S.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 2 , June 1990 , pp. 287 - 298
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

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