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Lecture Notes on Algebraic Structure of Lattice-Ordered Rings

✍ Scribed by Jingjing Ma


Publisher
World Scientific Publishing Company
Year
2014
Tongue
English
Leaves
258
Category
Library

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✦ Synopsis


Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field. This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book. The book is largely self-contained, except in a few places, and contains about 200 exercises to assist the reader to better understand the text and practice some ideas.


πŸ“œ SIMILAR VOLUMES


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✍ T.S. Blyth πŸ“‚ Library πŸ“… 2005 πŸ› Springer 🌐 English

<P>This book provides a lucid and concise introduction to the basic results concerning the notion of an order. Although it is mainly intended for beginning postgraduates, the prerequisities are minimal and selected parts can profitably be used to broaden the horizon of the advanced undergraduate. </

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"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning.…The exposition is thorough and all proofs that the reviewer checked were highly

Lattices and Ordered Algebraic Structure
✍ T.S. Blyth πŸ“‚ Library πŸ“… 2005 πŸ› Springer 🌐 English

The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning.…The exposition is thorough and all proofs that the reviewer checked were highly