ABSTRACT
We introduce semidirect and wreath products of finite ordered semigroups and extend some standard decomposition results to this case.
ACKNOWLEDGMENTS
The authors would like to thank Ben Steinberg and the anonymous referee for several suggestions and improvements. Work supported by INTAS project 1224.
Notes
The varieties and identities referred to in this section are also called pseudovarieties and pseudoidentities in the literature, see Citation[1].