Minimal Representations

George Grätzer

Chapter Chapter 9 in The Congruences of a Finite Lattice, 2016, pp 101-111 from Springer

Abstract: Abstract In the proof of the Dilworth Theorem Dilworth Theorem Dilworth, R. P. (Theorem 8.1 ), we construct—for a distributive lattice D with n ≥ 1 join-irreducible elements—a lattice L satisfying Con L ≅ D $$\mathop{\mathrm{Con}}\nolimits L\mathop{\cong}D$$ . The size of this lattice is O(22n ).

Keywords: Prime Interval; Join-irreducible Congruences; Finite Distributive Lattice; Wehrung; Squared Covariance (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-38798-7_9

Ordering information: This item can be ordered from
http://www.springer.com/9783319387987

DOI: 10.1007/978-3-319-38798-7_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().