Non-transitive generalizations of subdirect products of linearly ordered rings

Title:

Non-transitive generalizations of subdirect products of linearly ordered rings

Creator:

Rachůnek, Jiří and Šalounová, Dana

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a86f4886-14f4-4559-82eb-f754a3cdc579
uuid:a86f4886-14f4-4559-82eb-f754a3cdc579

Subject:

weakly associative lattice ring, weakly associative lattice group, and representable wal-ring

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

591-603

Source:

Czechoslovak Mathematical Journal | 2003 Volume:53 | Number:3

Harvested from:

CDK

Metadata only:

false