Under study is the structure of subsemigroup lattices of semigroups of elementary types. We establish that the subsemigroup lattices of semigroups of elementary types are lattice-universal. Also, we show that, for a series of classes $ {\mathbf{K}} $ of algebraic structures, each subsemigroup lattice of the semigroup of elementary types of the structures from $ {\mathbf{K}} $ contains the ideal lattice of a free lattice of countable rank as a sublattice.

中文翻译：

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关于一类子半群格

正在研究的是基本类型半群的子半群格的结构。我们确定基本类型半群的子半群格是格通用的。此外，我们表明，对于代数结构的一系列类 $ {\mathbf{K}} $，$ {\mathbf{K}} $ 结构的基本类型半群的每个子半群格都包含理想格作为子格的可数秩的自由格。