1. Direct summands and retract mappings of generalized $MV$-algebras
- Creator:
- Jakubík, Ján
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- residuated lattice, lattice ordered group, generalized $MV$-algebra, and direct summand
- Language:
- English
- Description:
- In the present paper we deal with generalized $MV$-algebras ($GMV$-algebras, in short) in the sense of Galatos and Tsinakis. According to a result of the mentioned authors, $GMV$-algebras can be obtained by a truncation construction from lattice ordered groups. We investigate direct summands and retract mappings of $GMV$-algebras. The relations between $GMV$-algebras and lattice ordered groups are essential for this investigation.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public