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Some annihilator conditions on distributive lattices. (English) Zbl 0299.06007


MSC:

06D05 Structure and representation theory of distributive lattices
03G05 Logical aspects of Boolean algebras
03G25 Other algebras related to logic
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References:

[1] R. Balbes and A. Horn,Stone lattices, Duke Math. J.38 (1971), 537–546. · Zbl 0219.06005
[2] R. Beazer,Hierarchies of distributive lattices satisfying annihilator identities. J. Lond. Math. Soc. (to appear). · Zbl 0335.06008
[3] W. H. Cornish,Normal lattices, J. Austral. Math. Soc.14 (1972), 200–215. · Zbl 0247.06009
[4] W. H. Cornish,n-Normal lattices. Proc. Amer. Math. Soc. (to appear).
[5] W. H. Cornish,The multiplier extension of a distributive lattice, J. Algebra (to appear). · Zbl 0318.06016
[6] G. Grätzer and H. Lakser,The structure of pseudocomplemented distributive lattices. II:Congruence extension and amalgamation. Trans. Amer. Math. Soc.156 (1971), 343–358. · Zbl 0244.06011
[7] G. Grätzer and H. Lakser,The structure of pseudocomplemented distributive lattices. IIIInjectives and absolute subretracts, Trans. Amer. Math. Soc.169 (1972), 475–487. · Zbl 0269.06004
[8] G. Grätzer and E. T. Schmidt,On a problem of M. H. Stone, Acta Math. Acad. Sci. Hung.8 (1957), 455–460. · Zbl 0079.04503
[9] A. Horn,Logic with truth values in a linearly ordered Heyting algebra, J. Symb. Logic34 (1969), 475–480. · Zbl 0181.30001
[10] T. Katriňák,Die Kennzeichnung der distributiven pseudokomplementären Halbverbände, J. rein und angewandte Math.241 (1970), 160–179. · Zbl 0192.33503
[11] J. Kist,Minimal prime ideals in commutative semigroups. Proc. Lond. Math. Soc. (Ser. 3)13 (1963), 31–50. · Zbl 0108.04004
[12] H. Lakser,The structure of pseudocomplemented distributive lattices. I:Subdirect decomposition, Trans. Amer. Math. Soc.156 (1971), 335–342. · Zbl 0244.06010
[13] K. B. Lee,Equational classes of distributive pseudo-complemented lattices, Canad. J. Math.22 (1970), 881–891. · Zbl 0244.06009
[14] M. Mandelker,Relative annihilators in lattices, Duke Math. J.40 (1970), 377–386. · Zbl 0206.29701
[15] T. P. Speed,Two congruences on distributive lattices. Bull. Soc. Roy. Sci. Liège38 (1969), 86–95. · Zbl 0176.28504
[16] J. Varlet,On the characterization of Stone lattices, Acta Sci. Math. (Szeged)27 (1966), 81–84. · Zbl 0158.27102
[17] P. Wakfer,Generalizations of a theorem on distributive pseudo-complemented lattices, Notices Amer. Math. Soc.17 (1970), 949. Abstract 0T-A217.
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