Document Type

Article

Publication Date

1990

Department

Mathematics

Abstract

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.

Comments

This article was originally published in Proceedings of the Edinburgh Mathematical Society, 33(2): 287-298. (c) 1990 Edinburgh Mathematical Society

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