Right-Ordered Groups

ISBN-13: 9780306110603 / Angielski / Twarda / 1996 / 250 str.

V. M. Kopytov; Valerii Kopyutov; N. Ya Medvedev

Opis

The notion of right-ordered groups is fundamental in theories of I-groups, ordered groups, torsion-free groups, and the theory of zero-divisors free rings, as well as in theoretical physics. Right-Ordered Groups is the first book to provide a systematic presentation of right-ordered group theory, describing all known and new results in the field. The volume addresses topics such as right-ordered groups and order permutation groups, the system of convex subgroups of a right-ordered group, and free products of right-ordered groups.

Recenzje

`A good up-to-date account of right-ordered groups...Indispensable for anyone wishing to work in this area.'
London Mathematical Society, 1998

Spis treści

Introduction. Systems of Convex Subgroups. Orderability Conditions. Groups of Order Automorphisms. Relatively Convex Subgroups. Orders on Free Products. Quasivarieties. Semilinearly Ordered Groups. Index.