Non-transitive generalizations of subdirect products of linearly ordered rings
| dc.contributor.author | Rachůnek, Jiří | |
| dc.contributor.author | Šalounová, Dana | |
| dc.date.accessioned | 2006-10-20T09:16:09Z | |
| dc.date.available | 2006-10-20T09:16:09Z | |
| dc.date.issued | 2003 | |
| dc.description.abstract | Abstract Weakly associative lattice rings (wal-rings) are non-transitive generalizations of lattice ordered rings (l-rings). As is known, the class of l-rings which are subdirect products of linearly ordered rings (i.e. the class of f-rings) plays an important role in the theory of l-rings. In the paper, the classes of wal-rings representable as subdirect products of to-rings and ao-rings (both being non-transitive generalizations of the class of f-rings) are characterized and the class of wal-rings having lattice ordered positive cones is described. Moreover, lexicographic products of weakly associative lattice groups are also studied here. | en |
| dc.identifier.citation | Czechoslovak Mathematical Journal. 2003, vol. 53, no. 3, p. 591-603. | en |
| dc.identifier.doi | 10.1023/B:CMAJ.0000024505.21040.c2 | |
| dc.identifier.issn | 0011-4642 | |
| dc.identifier.issn | 1572-9141 | |
| dc.identifier.location | Ve fondu ÚK | en |
| dc.identifier.uri | http://hdl.handle.net/10084/57281 | |
| dc.identifier.wos | 000186018800008 | |
| dc.language.iso | en | en |
| dc.publisher | Akademie věd České republiky. Matematický ústav | en |
| dc.relation.ispartofseries | Czechoslovak Mathematical Journal | en |
| dc.relation.uri | http://dx.doi.org/10.1023/B:CMAJ.0000024505.21040.c2 | en |
| dc.subject | weakly associative lattice ring | en |
| dc.subject | weakly associative lattice group | en |
| dc.subject | representable wal-ring | en |
| dc.title | Non-transitive generalizations of subdirect products of linearly ordered rings | en |
| dc.type | article | en |