Надіслати цю статтю On the semigroup of injective endomorphisms of the semigroup $\mathbf{B}_\omega^{\it F_n}$ which is generated by the family $\it F_n$ of initial finite intervals of $\omega$
Анотація
Про напівгрупу ін’єктивних ендоморфізмів напівгрупи $\mathbf{B}_\omega^{\it F_n}$, породжену сім’єю $\it F_n$ початкових скінченних інтервалів у $\omega$
Описано ін’єктивні ендоморфізми інверсної напівгрупи $\mathbf{B}_\omega^{\it F}$, яку введено в статті [3], у випадку коли сім’я $\it F_n$ породжена множиною {0,1,…,n} . Зокрема, показано, що напівгрупа ін’єктивних ендоморфізмів напівгрупи $\mathbf{B}_\omega^{\it F}$ є ізоморфною напівгрупі $(\omega, +)$. Також описано структуру напівгрупи $\it {End}(\it B_\lambda )$ усіх ендоморфізмів напівгрупи $\lambda \times \lambda$-матричних одиниць $\it B_\lambda $.
Зразок для цитування: O. V. Gutik, O. B. Popadiuk, “On the semigroup of injective endomorphisms of the semigroup $\mathbf{B}_\omega^{\it F_n}$ which is generated by the family $\it F_n$ of initial finite intervals of $\omega$,” Мат. методи та фіз.-мех. поля, 65, No. 1-2, 42–57 (2022), https://doi.org/10.15407/mmpmf2022.65.1-2.42-57
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