Jayaram, C. Quasicomplemented semilattices. (English) Zbl 0516.06002 Acta Math. Acad. Sci. Hung. 39, 39-47 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 06A12 Semilattices 06B10 Lattice ideals, congruence relations 06D15 Pseudocomplemented lattices Keywords:pseudocomplemented semilattice; 0-distributive semilattice; 0-modular semilattice; ideals; quasicomplemented semilattice; filter of dense elements; meet congruence PDFBibTeX XMLCite \textit{C. Jayaram}, Acta Math. Acad. Sci. Hung. 39, 39--47 (1982; Zbl 0516.06002) Full Text: DOI References: [1] R., Balbes, A representation theory for prime and implicative semilattices,Trans. Amer. Math. Soc.,136 (1969), 261–267. · Zbl 0175.01402 · doi:10.1090/S0002-9947-1969-0233741-7 [2] G. Birkhoff,Lattice theory, Amer. Math. Soc. Coll. Publ. Vol.25 (1948). · Zbl 0033.10103 [3] W. H. Cornish, Pseudo complemented modular semilattices,Jour. Aust. Math. Soc.,XVIII (1974), 239–251. · Zbl 0312.06006 · doi:10.1017/S1446788700019984 [4] W. H. Cornish, A sheaf representation of distributive pseudo complemented lattices,Proc. Amer. Math. Soc.,57 (1976), 11–15. · Zbl 0337.06006 · doi:10.1090/S0002-9939-1976-0424630-2 [5] W. H. Cornish,O-ideals, congruences and sheaf representations of distributive lattices,Rev. Roum., Math. Pures and Appl.,XXII (1979), 1059–1067. · Zbl 0382.06011 [6] T. Funjiwara, Permutability of semilattice congruences on lattices,Canadian Journ. Math.,19 (1967), 370–375. · Zbl 0154.00804 · doi:10.4153/CJM-1967-029-1 [7] C. Jayaram,0-modular semilatices (under communication). [8] J. Nieminen, Remarks on ideals in join semilattices,Manuscripta Mathematica,15 (1975), 251–259. · Zbl 0306.06006 · doi:10.1007/BF01168677 [9] T. P. Speed, A note on commutative semigroups,Jour. Aust. Math. Soc.,8 (1968), 731–736. · Zbl 0172.02502 · doi:10.1017/S1446788700006558 [10] T. P. Speed, Some remarks on a lcass of distributive lattices,Journ. Aust. Math. Soc.,9 (1969), 289–296. · Zbl 0175.01303 · doi:10.1017/S1446788700007205 [11] J. Varlet, Contributions a l’etude des treillis pseudo complementes et de treillis de Stone,Mem. Soc. Roy. des Sci. de Liege,5, Ser.8 (1963), 1–71. · Zbl 0113.01803 [12] J. Varlet, A generalization of the notion of pseudo complementedness,Bull. Soc. Roy. Sci. Liege,37 (1968), 149–158. · Zbl 0162.03501 [13] J. Varlet, Distributive semilatices and Boolean lattices,Bull. Soc. Roy. Sci. Liege,41 (1972), 5–10. · Zbl 0237.06011 [14] P. V. Venkatanarasimhan, Ideals in pseudocomplemented lattices and semilattices,Act. Sci. Math. Szeged,36 (1974), 221–236. · Zbl 0246.06003 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.