Non-transitive generalizations of subdirect products of linearly ordered rings

Non-transitive generalizations of subdirect products of linearly ordered rings

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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.identifier.citation	Czechoslovak mathematical journal. 2003, vol. 53, no. 3, p. 591-603.	en
dc.identifier.issn	0011-4642
dc.identifier.issn	1572-9141
dc.identifier.uri	http://hdl.handle.net/10084/57281
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.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
dc.identifier.location	Ve fondu ÚK	en
dc.identifier.doi	10.1023/B:CMAJ.0000024505.21040.c2
dc.identifier.wos	000186018800008

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