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Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions. / Schwidefsky, M. V.
в: Algebra and Logic, Том 56, № 3, 01.07.2017, стр. 236-244.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions
AU - Schwidefsky, M. V.
PY - 2017/7/1
Y1 - 2017/7/1
N2 - 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.
AB - 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.
KW - consistent lattice
KW - irredundant decomposition
KW - join-semidistributive
KW - lattice
KW - lower continuous
KW - semimodular
KW - strongly atomic
KW - upper continuous
KW - weakly atomic
UR - http://www.scopus.com/inward/record.url?scp=85030536583&partnerID=8YFLogxK
U2 - 10.1007/s10469-017-9443-8
DO - 10.1007/s10469-017-9443-8
M3 - Article
AN - SCOPUS:85030536583
VL - 56
SP - 236
EP - 244
JO - Algebra and Logic
JF - Algebra and Logic
SN - 0002-5232
IS - 3
ER -
ID: 9895034