Pre-ideals of Basic Algebras |
| |
Authors: | Jan Krňávek Jan Kühr |
| |
Institution: | 1.Department of Algebra and Geometry, Faculty of Science,Palacky University at Olomouc,Olomouc,Czech Republic |
| |
Abstract: | Basic algebras are a generalization of MV-algebras, also including orthomodular lattices and lattice effect algebras. A pre-ideal
of a basic algebra is a non-empty subset that is closed under the addition ⊕ and downwards closed with respect to the underlying
order. In this paper, we study the pre-ideal lattices of algebras in a particular subclass of basic algebras which are closer
to MV-algebras than basic algebras in general. We also prove that finite members of this subclass are exactly finite MV-algebras. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|