On a generalization of strong flatness

Authors

  • Valdis Laan University of Tartu

DOI:

https://doi.org/10.12697/ACUTM.1998.02.08

Keywords:

act over monoid, strong flatness

Abstract

Strong flatness or flatness of right acts over a monoid S has been the topic of many papers on homological classification of monoids during the last decades. It has turned out to be useful to consider a property called condition (P), which lies strictly between these two properties. In this paper we define a new condition (O) and show that the class of S-acts satisfying this condition lies strictly between the classes of strongly flat S-acts and S-acts satisfying condition (P).

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Author Biography

Valdis Laan, University of Tartu

Institute of Pure Mathematics

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Published

1998-12-31

Issue

Section

Articles