|
Title: Right-Ordered Groups (Siberian School of Algebra and Logic)
Purchase
Item
Manufacturer: Springer
List Price: $235.00
Our Price: $225.36
|
|
| Customer Reviews: |
| Right-Ordered Groups (Siberian School of Algebra and Logic) by Springer Kopytov's Right-Ordered Groups | | The important applications of semigroups and Clifford algebras and quantum lattice field theory in the last 5 years are paralleled by this book from the Siberian School of Algebra and Logic. Semigroups are used to characterize right-ordered groups. Important partially ordered groups in functional analysis are studied. Small subgroups of relatively convex groups are studied. The lattice of quasivarieties is studied, and the set of all quasivarieties of right-ordered groups is shown to contain the least and the greatest elements of of right ordered groups, which is useful for maximum-minimum studies. Semilinearly ordered groups are studied (partially right-ordered groups of a certain type that are close to right-ordered groups)and have some remarkable properties including reproduction with respect to quotient groups and finite index and convex normal subrgroups and proper convex directed subgroups. Any semilinear order on a nilpotent group is right-ordered, and likewise any locally nilpotent ssemilinearly ordered group. Methods for constructing semilinearly ordered groups from right ordered ones are given. (Note that semilinear ordering of a right-ordered group means that any 2 elements with a common lower bound are comparable, i.e., inequalities can be multiplied on the right, any two elements have an upper bound in the group, and two upper bounds are either in a < = or > = relationship. | | Right-Ordered Groups (Siberian School of Algebra and Logic) by Springer Product Description | | 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. |
No item elements found in rss feed.
|
