Ordered Algebraic Structures

ISBN-13: 9789056993252 / Angielski / Twarda / 2001 / 216 str.

Charles Holland

Opis

This book is an outcome of the conference on ordered algebraic structures held at Nanjing. It covers a range of topics: lattice theory, ordered semi groups, partially ordered groups, totally ordered groups, lattice-ordered groups, and ordered fields.

Spis treści

1. Closure operators on complete lattices 2. Ordered groups in which every automorphism preserves the order 3. Complete semilattice decompositions of ordered semigroups 4. Topological representation for generalized-algebraic lattices 5. Right ordered groups 6. The quaternion rings on the ordered fields 7. Maximal orders on groups of piecewise linear functions of the real line 8. Structure of bounded DRI-monoids and MV-algebras and their non-commutative generalizations 9. Unexpected lattice-ordered quotient structures 10. On generation of posets and lattices having finite bounded chains 11. On certain extensions of partial orders of idempotent and commutative semigroups 12. Representations of orthomodular structures 13. Relative polar operators of radical classes of hl-groups 14. Some results on torsion classes of lattice-ordered groups 15. N-kernel classes of -L-groups 16. Semitorsion and product classes of /-groups 17. Representation and its application of a kind of vector lattice

O autorze

Holland, W. Charles