We show that the $\lambda$-semidirect product $M \rtimes^{\lambda} W$ of a left $P$-Ehresmann semigroup $M$ and a left restriction semigroup $W$ is a left $P$-Ehresmann semigroup. We explore the behavior of generalized Green's relations on $M \rtimes^{\lambda} W$, and investigate some properties of $M \rtimes^{\lambda} W$. Then the Zappa-Szép product of a right Ehresmann semigroup and its distinguished semilattice is studied. An example of Zappa-Szép product in the context of right Ehresmann semigroups is also given.
generalized Green’s relations left P-Ehresmann semigroup right Ehresmann semigroup Zappa-Szép product
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Erken Görünüm Tarihi | 10 Ocak 2024 |
Yayımlanma Tarihi | 27 Ağustos 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 53 Sayı: 4 |