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Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions. / Schwidefsky, M. V.

In: Algebra and Logic, Vol. 56, No. 3, 01.07.2017, p. 236-244.

Research output: Contribution to journal › Article › peer-review

Harvard

Schwidefsky, MV 2017, 'Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions', Algebra and Logic, vol. 56, no. 3, pp. 236-244. https://doi.org/10.1007/s10469-017-9443-8

APA

Schwidefsky, M. V. (2017). Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions. Algebra and Logic, 56(3), 236-244. https://doi.org/10.1007/s10469-017-9443-8

Vancouver

Schwidefsky MV. Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions. Algebra and Logic. 2017 Jul 1;56(3):236-244. doi: 10.1007/s10469-017-9443-8

Author

Schwidefsky, M. V. / Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions. In: Algebra and Logic. 2017 ; Vol. 56, No. 3. pp. 236-244.

BibTeX

@article{751a1e463afd43eeb18758eb2551a734,
title = "Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions",
abstract = "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.",
keywords = "consistent lattice, irredundant decomposition, join-semidistributive, lattice, lower continuous, semimodular, strongly atomic, upper continuous, weakly atomic",
author = "Schwidefsky, {M. V.}",
year = "2017",
month = jul,
day = "1",
doi = "10.1007/s10469-017-9443-8",
language = "English",
volume = "56",
pages = "236--244",
journal = "Algebra and Logic",
issn = "0002-5232",
publisher = "Springer US",
number = "3",

}

RIS

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