Reflections on lower bounded lattices

K. V. Adaricheva; J. B. Nation

doi:10.1007/s00012-005-1909-1

Reflections on lower bounded lattices

K. V. Adaricheva, J. B. Nation

Department of Mathematics

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

6 Citations (Scopus)

Abstract

Lattices in the variety LB(k) of lower bounded lattices of rank k are characterized. A sufficient condition for a lattice to be lower bounded is given, and used to produce a new example of a non-finitely-generated lower bounded lattice. Lattices that are subdirect products of finite lower bounded lattices are characterized.

Original language	English
Pages (from-to)	307-330
Number of pages	24
Journal	Algebra Universalis
Volume	53
Issue number	2-3
DOIs	https://doi.org/10.1007/s00012-005-1909-1
Publication status	Published - Apr 2005

Keywords

Join semidistributive lattice
Lattice
Lower bounded lattice
Reflection
Variety

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s00012-005-1909-1

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abstract = "Lattices in the variety LB(k) of lower bounded lattices of rank k are characterized. A sufficient condition for a lattice to be lower bounded is given, and used to produce a new example of a non-finitely-generated lower bounded lattice. Lattices that are subdirect products of finite lower bounded lattices are characterized.",

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AB - Lattices in the variety LB(k) of lower bounded lattices of rank k are characterized. A sufficient condition for a lattice to be lower bounded is given, and used to produce a new example of a non-finitely-generated lower bounded lattice. Lattices that are subdirect products of finite lower bounded lattices are characterized.

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KW - Reflection

KW - Variety

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Reflections on lower bounded lattices

Abstract

Keywords

ASJC Scopus subject areas

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