Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions

Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions Full article

Journal

Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302

Output data

Year: 2017, Volume: 56, Number: 3, Pages: 236-244 Pages count : 9 DOI: 10.1007/s10469-017-9443-8

Tags

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

Authors

Schwidefsky M.V. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090, Russian Federation

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. © 2017, Springer Science+Business Media, LLC.

Schwidefsky M.V.
Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions
Algebra and Logic. 2017. V.56. N3. P.236-244. DOI: 10.1007/s10469-017-9443-8 WOS Scopus OpenAlex

Web of science:	WOS:000412839000005
Scopus:	2-s2.0-85030536583
OpenAlex:	W2763161366

DB	Citing
Scopus	2
OpenAlex	2
Web of science	2