Lattices and ordered algebraic structures
著者
書誌事項
Lattices and ordered algebraic structures
（Universitext）
Springer, c2005
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注記
Includes bibliographical references (p. [293]-297) and index
内容説明・目次
内容説明
"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 polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author's research expertise." --MATHEMATICAL REVIEWS
目次
- Ordered sets
- residuated mappings.- Lattices
- lattice morphisms.- Regular equivalences.- Modular lattices.- Distributive lattices.- Complementation
- boolean algebras.- Pseudocomplementation
- Stone and Heyting algebras.- Congruences
- subdirectly irreducible algebras.- Ordered groups.- Archimedean ordered structures.- Ordered semigroups
- residuated semigroups.- Epimorphic group images
- Dubreil-Jacotin semigroups.- Ordered regular semigroups.- Structure theorems.
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