Semigroup crossed products and the induced algebras of lattice-ordered groups
โ Scribed by Mamoon A. Ahmed; Alan J. Pryde
- Book ID
- 108178609
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 243 KB
- Volume
- 364
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A class of lattice ordered groups is called a formation if it is closed with respect to homomorphic images and finite subdirect products. Analogously we define the formation of GMV -algebras. Let us denote by F 1 and F 2 the collection of all formations of lattice ordered groups or of GMV -algebras,
The notion of internal subdirect decomposition can be defined in each variety of algebras. In the present note we prove the validity of a cancellation rule concerning such decompositions for lattice ordered groups and for GMV -algebras. For the case of groups, this cancellation rule fails to be vali