On the theory of represantable varieties of lattice-ordered groups | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2020. № 65. DOI: 10.17223/19988621/65/2

On the theory of represantable varieties of lattice-ordered groups

We study the properties of some o-approximable varieties of lattice-ordered groups and refine the previously obtained results on the structure of the lattice of varieties of lattice-ordered groups.

Download file
Counter downloads: 144

Keywords

решеточно упорядоченная группа, о-аппроксимируемое многообразие, накрытие, lattice-ordered group, representable varieties, cover

Authors

NameOrganizationE-mail
Bayanova Nadezhda V.Altai State Universitybayanova@math.asu.ru
Zenkov Alexey V.Altai State Agricultural Universityalexey_zenkov@yahoo.com
Prusakova Galina V.Altai State Agricultural Universityprusakova_galina@mail.ru
Всего: 3

References

Копытов В.М. Решеточно упорядоченные группы. М.: Наука, 1984. 300 с.
Kopytov V.M., Medvedev N.Ya. The theory of lattice-ordered groups. Dordrecht; Boston; London: Kluwer Academic Publishers, 1994. 374 p.
Andersen M., Darnel M., Feil T. A variety of lattice-ordered groups containing all representable covers of the abelian variety // Order. 1991. V. 7. P. 401-405. DOI: 10.1007/ BF00383204.
Молочко С.В., Морозова С.В. К теории многообразий решеточно упорядоченных групп // Сибирский матем. журнал. 1997. Т. 38. № 1. С. 151-160.
Medvedev N.Ya., Morozova S.V. On covers in the lattice of representable £- varieties // Czechoslovak Mathematical Journal. 1998. V. 48(123). P. 821-831.
Медведев Н.Я. О решетке о-аппроксимируемых ℓ- многообразий // Czechoslovak Mathematical Journal. 1984. V. 34(109). P. 6-17.
Huss M.E., Reilly N.R. On reversing the order of a lattice ordered group // J. Algebra. 1984. V. 91. P. 176-191. DOI: 10.1016/0021-8693(84)90133-9.
 On the theory of represantable varieties of lattice-ordered groups | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2020. № 65. DOI: 10.17223/19988621/65/2

On the theory of represantable varieties of lattice-ordered groups | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2020. № 65. DOI: 10.17223/19988621/65/2

Download full-text version
Counter downloads: 403