Cargando…
Lecture notes on algebraic structure of lattice-ordered rings /
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....
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hackensack, New Jersey :
World Scientific,
[2014]
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction to ordered algebraic systems. 1.1 Lattices. 1.2. Lattice-ordered groups and vector lattices. 1.3. Lattice-ordered rings and algebras
- 2. Lattice-ordered algebras with a d-basis. 2.1. Examples and basic properties. 2.2. Structure theorems
- 3. Positive derivations on l-rings. 3.1. Examples and basic properties. 3.2. f-ring and its generalizations. 3.3. Matrix l-rings. 3.4. Kernel of a positive derivation
- 4. Some topics on lattice-ordered rings. 4.1. Recognition of matrix l-rings with the entrywise order. 4.2. Positive cycles. 4.3. Nonzero f-elements in l-rings. 4.4. Quotient rings of lattice-ordered Ore domains. 4.5. Matrix l-algebras over totally ordered integral domains. 4.6. d-elements that are not positive. 4.7. Lattice-ordered triangular matrix algebras
- 5. l-ideals of l-unital lattice-ordered rings. 5.1. Maximal l-ideals. 5.2. l-ideals in commutative l-unital l-rings.