Amalgamation bases for the class of lattice-ordered groups

In: Mathematica Slovaca, vol. 64, no. 3

V. V. Bludov - Andrew M. W. Glass

Detaily:

Rok, strany: 2014, 571 - 578

Kľúčové slová:

amalgamation, lattice-ordered group, $\ell$-permutation group

DOI: https://doi.org/10.2478/s12175-014-0227-5

O článku:

We prove: Theorem A. The cardinal product of two copies of the integers is an amalgamation base for the class of all lattice-ordered groups but their lexicographic product is not. This answers Problem 27 of [Black Swamp Problem Book (W. Charles Holland, ed.), Bowling Green State University, 1982]. We also prove: Theorem B. The cardinal product of $n$ copies of the integers is not an amalgamation base for the class of all lattice-ordered groups if $n≥ 3$.

Ako citovať:

ISO 690:

Bludov, V., Glass, A. 2014. Amalgamation bases for the class of lattice-ordered groups. In Mathematica Slovaca, vol. 64, no.3, pp. 571-578. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0227-5

APA:

Bludov, V., Glass, A. (2014). Amalgamation bases for the class of lattice-ordered groups. Mathematica Slovaca, 64(3), 571-578. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0227-5

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