Turkish Journal of Mathematics
DOI
10.3906/mat-2107-20
Abstract
In this article we discuss the factorisations of semigroups and monoids in the context of direct, semidirect and Zappa-Szep products addressing the question of uniqueness. An equivalence between external and internal Zappa-Szep product of groups and monoids is known, but no such correspondence exists for semigroups in general. We prove the equivalence between external and internal Zappa-Szep product of semigroups subject to certain conditions in this article. We end with some illustrative examples of the Zappa-Szep product of the bisimple inverse monoids.
Keywords
Zappa-Szep products, semigroups, bisimple inverse monoids
First Page
2511
Last Page
2533
Recommended Citation
ZENAB, RIDA E.
(2021)
"Decompositions of semigroups,"
Turkish Journal of Mathematics: Vol. 45:
No.
6, Article 12.
https://doi.org/10.3906/mat-2107-20
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss6/12
