DECOMPOSITIONS IN COMPLETE LATTICES II. REPLACEABLE IRREDUNDANT DECOMPOSITIONS

作者：Schwidefsky M V^*

来源：Algebra and Logic, 2017, 56(3): 236-244.

DOI：10.1007/s10469-017-9443-8

• consistent lattice
• irredundant decomposition
• join-semidistributive
• lattice
• lower continuous
• semimodular
• strongly atomic
• upper continuous
• weakly atomic

A characterization of lattices with replaceable irredundant decompositions is given in the following six classes: the class of upper and lower continuous lattices; the class of upper continuous completely join-semidistributive lattices; the class of upper semimodular lower continuous lattices; the class of upper semimodular completely joinsemidistributive lattices; the class of consistent lower continuous lattices; the class of consistent completely join-semidistributive lattices.

• 出版日期2017-7