Proceedings of the University of Houston
Lattice Theory Conference

March 22-24, 1973

Edited by Siemion Fajtlowicz and Klaus Kaiser

Houston Journal of Mathematics


Contents

William A. Lampe, Representations of Lattices as Congruence Lattices, pp. 1-16.

A. Ehrenfeucht, V. Faber, S. Fajtlowicz, J. Mycielski, Representations of Finite Lattices as Partition Lattices of Finite Sets, pp. 17-35.

George Markowsky, Some Combinatorial Aspects of Lattice Theory, pp. 33-68.

George Hutchinson, On Classes of Lattices Representable by Modules, pp. 69-94.

Roberto Mena,  Ideal Completions, pp. 95-104 ,

Christian Herrmann, On the Equational Theory of Submodule Lattices, pp. 105-118.

Christian Herrmann,  Modulare Verbande von Lange n<6, pp. 119-146.

B. Banaschewski, The Filter Space of a Lattice: Its Role in Gereral Topology, pp. 147-155.

Harry Lakser,  Disjointness Conditions in Free Products of Distributive Lattices: An Application of Ramsay's Theorem , pp. 156-168.

Margaret Hoft,  The Order-Sum In Classes of Partially Ordered Algebras Margaret Hoft , pp. 169-179.

Stephen D. Comer,  Arithmetic Properties of Relatively Free Products, pp. 180-193.

Karl H. Hofmann, Michael W. Mislove On the Dimensional Stability of Compact Zero-Dimensional Semilattices, pp. 194-199.

Karl H. Hofmann, Michael W. Mislove, Lawson Semilattices Do Have a Pontryagin Duality, pp. 200-205.

Jimmie D. Lawson, Intrinsic Lattice and Semilattice Topologies, pp. 206-260.

Karl H. Hofmann, Michael W. Mislove, Albert Stralka, On the Duality of Semilattices and Its Applications to Lattice Theory, pp. 261-268.

Albert Stralka,  Distributive Topological Lattices, pp. 269-276.

Klaus Keimel, Representations of Lattice Ordered Rings, pp. 277-293 .

Katherine Bennett, Modular Centers of Additive Lattices, pp. 294-294 .

Jorge Martinez, Structure of Archimedean Lattices, pp. 295-305.

Kirby A. Baker, Inside Free Semilattices, pp. 306-331.

Wolfgang Seibert, Rudolf Wille, On Free Modular Lattices Over Partial Lattices With Four Generators, pp. 332-382.

Aleit Mitschke, Rudolf Wille, Freie modulare Verbande FM(DM3), pp. 383-396.

Gunter Bruns, Gudrun Kalmbach, Some Remarks on Free Orthomodular Lattices, pp. 397-408.

Ralph Freese, Breadth Two Modular Lattices, pp. 409-451.

K. Keimel, H. Werner, Stone Duality for Varieties Generated by Quasi Primal Algebras, pp. 452-454 .

Alan Day, Splitting Algebras and a Weak Notion of Projectivity, pp. 466-485 .

Donald H. Adams, Equational Classes of Foulis Semigroups Orthomodular Lattices, pp. 486-497 .

Gudrun Kalmbach, Orthomodular Logic, pp. 498-503.

R. H. Redfield, Ordering Uniform Completions of Partially Ordered Sets, pp. 504-511.

Robert W. Quackenbush, Planar Lattices, pp. 512-518.

Erik A. Schreiner, Tight Residuated Mappings, pp. 519-538 .

A. A. Iskander, On Subalgebras of Partial Universal Algebras, pp. 531-538 .

G. Gratzer, Free Products and Reduced Free Products of Lattices, pp. 539-563.

Ralph McKenzie, Some Unresolved Problems Between Lattice Theory and Equational Logic, pp. 564-573.

Gian-Carlo Rota, The Valuation Ring of a Distributive Lattice, pp. 574-628.

Problems, pp. 629-632.