Some more axiomatisability for S-acts
Rings and Algebras
2010-05-07 v1
Abstract
This paper discusses necessary and sufficient conditions on a monoid S, such that the class of C-flat left -acts is axiomatisable, where C is the class of all embeddings (of right ideals into S) of right S-acts. We consider the axiomatisability of some flatness classes of S-acts, which were previously discussed by Bulman-Fleming and Gould [1] . We present here a more general procedure to axiomatise these classes. A similar type of general results have been found for S-posets by Gould and Shaheen [10]. We have found that there are some classes of S-acts which are axiomatisable by more than one method. This has not been seen before.
Cite
@article{arxiv.1005.1004,
title = {Some more axiomatisability for S-acts},
author = {Lubna Shaheen},
journal= {arXiv preprint arXiv:1005.1004},
year = {2010}
}