Decompositions in Complete Lattices III. Unique Irredundant Decompositions and Convex Geometries

M. V. Schwidefsky

doi:10.1007/s10469-017-9462-5

Decompositions in Complete Lattices III. Unique Irredundant Decompositions and Convex Geometries

M. V. Schwidefsky

Кафедра дискретной математики и информатики ММФ и СУНЦ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

We give a characterization of complete strongly dually atomic lattices having unique irredundant decompositions which are also canonical. It is shown that all known characterizations of lattices with unique irredundant decompositions are a consequence of this result. In addition, upper continuous closure lattices of convex geometries with (unique) irredundant decompositions are characterized.

Язык оригинала	английский
Страницы (с-по)	409-424
Число страниц	16
Журнал	Algebra and Logic
Том	56
Номер выпуска	5
DOI	https://doi.org/10.1007/s10469-017-9462-5
Состояние	Опубликовано - 1 нояб. 2017

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10.1007/s10469-017-9462-5

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