M. P. Shushpanov, “On the embedding of the free lattice of rank $3$ in the lattice freely generated by three completely right modular elements”, Сиб. электрон. матем. изв., 2017, том 14,страницы 1215

Эта публикация цитируется в 2 статьях

Математическая логика, алгебра и теория чисел

On the embedding of the free lattice of rank $3$ in the lattice freely generated by three completely right modular elements

M. P. Shushpanov

Ural Federal University, 19, Mira str, 620002, Ekaterinburg, Russia

Аннотация: We consider the lattice freely generated by three elements, which are right modular and dually right modular simultaneously. We prove that this lattice contains the free lattice of rank $3$ as a sublattice.

Ключевые слова: right modular element, dually right modular element, completely right modular element, free lattice.

УДК: 512.56

MSC: 06B25

Поступила 1 октября 2017 г., опубликована 27 ноября 2017 г.

Язык публикации: английский

DOI: 10.17377/semi.2017.14.103