Proceedings of Symposia in Pure Mathematics Volume II Lattice TheoryPDF电子书下载

PART Ⅰ．LATTICE STRUCTURE THEORY 1

Structure and decomposition theory of lattices＆By R．P．DILWORTH 3

Status of word problems for lattices＆By P．M．WHITMAN 17

Generalized partitions and lattice embedding theorems＆By JURIS HARTMANIS 22

Sublattices of free lattices＆By R．A．DEAN 31

Prime ideal characterization of generalized Post algebras＆By C．C．CHANG and ALFRED HORN 43

PART Ⅱ．COMPLEMENTED MODULAR LATTICES 49

Complemented modular lattices＆By ISRAEL HALPERIN 51

Extensions of von Neumann＇s coordinatization theorem＆By B．JONSSON 65

Coordinates in non-Desarguesian complemented modular lattices＆By K．D．FRYER 71

The normal completion of a complemented modular point lattice＆By J．E．MCLAUGHLIN 78

PART Ⅲ．BOOLEAN ALGEBRAS 81

Cylindric algebras＆By LEON HENKIN and ALFRED TARSKI 83

Injective and projective Boolean algebras＆By P．R．HALMOS 114

Cardinal and ordinal multiplication of relation types＆By C．C．CHANG 123

Some questions about complete Boolean algebras＆By R．S．PIERCE 129

Retracts in Boolean algebras＆By PHILIP DWINGER 141

PART Ⅳ．APPLICATIONS OF LATTICE THEORY 153

Lattices in applied mathematics＆By GARRETT BIRKHOFF 155

On the lattice of normal subgroups of a group＆By MARSHALL HALL,JR． 185

Locally compact topological lattices＆By L．W．ANDERSON 195

Function lattices＆By F．W．ANDERSON 198

INDEX 205