×
Smith, Dorothy P.

Meet-irreducible elements in implicative lattices. (English) Zbl 0259.06008

Proc. Am. Math. Soc. 34, 57-62 (1972).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0259.06008

Cited in 5 Documents

MSC:

06D05 Structure and representation theory of distributive lattices
PDF BibTeX XML Cite
\textit{D. P. Smith}, Proc. Am. Math. Soc. 34, 57--62 (1972; Zbl 0259.06008)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[1] V. K. Balachandran, On complete lattices and a problem of Birkhoff and Frink, Proc. Amer. Math. Soc. 9 (1955), 548 – 553. · Zbl 0066.02201
[2] Garrett Birkhoff, Lattice theory, Third edition. American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. · Zbl 0153.02501
[3] Peter Crawley, Regular embeddings which preserve lattice structure, Proc. Amer. MAth. Soc. 13 (1962), 748 – 752. · Zbl 0112.01803
[4] Nenosuke Funayama, On the completion by cuts of distributive lattices, Proc. Imp. Acad. Tokyo 20 (1944), 1 – 2. · Zbl 0063.01484
[5] V. Glivenko, Sur quelques points de la logique de Brouwer, Bull. Acad. Sci. Belgique 15 (1929), 183-188. · JFM 55.0030.05
[6] H. M. MacNeille, Partially ordered sets, Trans. Amer. Math. Soc. 42 (1937), no. 3, 416 – 460. · Zbl 0017.33904
[7] Mark Mandelker, Relative annihilators in lattices, Duke Math. J. 37 (1970), 377 – 386. · Zbl 0206.29701
[8] J. C. C. McKinsey and Alfred Tarski, On closed elements in closure algebras, Ann. of Math. (2) 47 (1946), 122 – 162. · Zbl 0060.06207
[9] William C. Nemitz, Implicative semi-lattices, Trans. Amer. Math. Soc. 117 (1965), 128 – 142. · Zbl 0128.24804
[10] T. Newman, Homomorphic images of compactly generated lattices, Doctoral Dissertation, University of Texas, Austin, Tex., 1967 (unpublished).
[11] Helena Rasiowa and Roman Sikorski, The mathematics of metamathematics, Monografie Matematyczne, Tom 41, Państwowe Wydawnictwo Naukowe, Warsaw, 1963. · Zbl 0239.02002
[12] M. H. Stone, Topological representation of distributive lattices and Brouwerian logics, Casopis Mat. Fys. 67 (1937), 1-25. · Zbl 0018.00303
[13] Morgan Ward, Structure residuation, Ann. of Math. (2) 39 (1938), no. 3, 558 – 568. · Zbl 0019.28902
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.