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2. Lexicographic products of half linearly ordered groups
- Creator:
- Jakubík, Ján
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- half linearly ordered group, lexicographic product, and isomorphic refinements
- Language:
- English
- Description:
- The notion of the half linearly ordered group (and, more generally, of the half lattice ordered group) was introduced by Giraudet and Lucas [2]. In the present paper we define the lexicographic product of half linearly ordered groups. This definition includes as a particular case the lexicographic product of linearly ordered groups. We investigate the problem of the existence of isomorphic refinements of two lexicographic product decompositions of a half linearly ordered group. The analogous problem for linearly ordered groups was dealt with by Maltsev [5]; his result was generalized by Fuchs [1] and the author [3]. The isomorphic refinements of small direct product decompositions of half lattice ordered groups were studied in [4].
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
3. On half cyclically ordered groups
- Creator:
- Jakubík, Ján
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- half partially ordered group, half cyclically ordered group, half $lc$-group, and lexicographic product
- Language:
- English
- Description:
- In this paper we introduce and investigate the notion of half cyclically ordered group generalizing the notion of half partially ordered group whose study was begun by Giraudet and Lucas.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public