论文标题
关于双环半群和扩展的双环半群的内态性
On endomorphisms of the bicyclic semigroup and the extended bicyclic semigroup
论文作者
论文摘要
事实证明，semigroups $ \ mathrm {\ mathbf {end}}（\ boldsymbol {b}_Ω）$和$ \ mathrm {\ mathbf {endbf {end end}}（\ boldsymbol {\ boldsymbol {b} $ \ boldsymbol {b}_Ω$和扩展的BiciClic semigroup $ \ boldsymbol {b} _ {\ Mathbb {z}} $的内态性与半二聚体产品$（ω，+）\ rtimes_或和和$ \ mathbb {z}（+）\rtimes_φ（ω，*）$。
It is proved that the semigroups $\mathrm{\mathbf{End}}(\boldsymbol{B}_ω)$ and $\mathrm{\mathbf{End}}(\boldsymbol{B}_{\mathbb{Z}})$ of the endomorphisms of the bicyclic semigroup $\boldsymbol{B}_ω$ and the endomorphisms of the extended bicyclic semigroup $\boldsymbol{B}_{\mathbb{Z}}$ are isomorphic to the semidirect products $(ω,+)\rtimes_φ(ω,*)$ and $\mathbb{Z}(+)\rtimes_φ(ω,*)$, respectively.
