Download E-books Lattice-ordered Rings and Modules PDF

By Stuart A. Steinberg

This booklet presents an exposition of the algebraic elements of the idea of lattice-ordered jewelry and lattice-ordered modules. the entire historical past fabric on earrings, modules, and lattice-ordered teams essential to make the paintings self-contained and available to various readers is incorporated. Filling a spot within the literature, Lattice-Ordered earrings and Modules can be used as a textbook or for self-study through graduate scholars and researchers learning lattice-ordered jewelry and lattice-ordered modules.

Steinberg provides the fabric via 800+ broad examples of various degrees of trouble besides quite a few workouts on the finish of every part. Key themes contain: lattice-ordered teams, earrings, and fields; archimedean $l$-groups; f-rings and bigger forms of $l$-rings; the class of f-modules; a variety of commutativity results.

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