Series-parallel posets and relative Ockham lattices
type: Item
instance of: scholarly article
title: Series-parallel posets and relative Ockham lattices
zbMATH Open document ID: 0822.06003
DOI: 10.1007/BF02115816
author: V. Pereyra
published in: Order
publication date: 1995-09-28T00:00:00Z
review text: A finite poset is series-parallel if it is constructed from one-point sets by the operations of disjoint union and linear sum. The authors study some subclasses of the class of series-parallel posets and give their characterizations with the help of order-reversing maps with special properties and with forbidden subsets. Also, classes of relative Ockham lattices are studied.
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 06D05
zbMATH DE Number: 720845
zbMATH Keywords: series-parallel posets
zbMATH Keywords: order-reversing maps
zbMATH Keywords: relative Ockham lattices
reviewed by: Vitězslav Novák
MaRDI profile type: Publication
cites work: Equational bases for varieties of Ockham algebras
cites work: Q4083730
cites work: Distributive lattices with an additional unary operation
cites work: On complements in lattices of finite length
cites work: Ockham algebras with De Morgan skeletons
cites work: Subvarieties of the class of MS-algebras
cites work: Q4207944
cites work: Relative Ockham lattices: their order-theoretic and algebraic characterisation
cites work: Q4025805
cites work: Q4179057
cites work: Q3728044
cites work: Q4692885
cites work: Distributive Ockham algebras: free algebras and injectivity
cites work: Q4918387
cites work: Distributive lattices with a dual homomorphic operation
cites work: Distributive lattices with a dual homomorphic operation. II
cites work: Relative De Morgan lattices
cites work: Q3974016
cites work: Series parallel posets with nonfinitely generated clones
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description: scientific article; zbMATH DE number 720845