Polar operator in lattice of radical classes of $\ell$-groups

Year, pages: 1995, 43 - 50

In this paper we prove that for most of radical classes $R_{12i3… i3… i7}$ there exists a unique largest radical class $R_12i3…,i7'$ whose intersection with $R_{12i3… i7}$ is trivial. $R_{12i3… i7}'$ is called the polar of $R_{12i3… i7}$. We give concrete construction for polars of radical classes generated by the integer group $\Bbb Z$.

Ton, D. 1995. Polar operator in lattice of radical classes of $\ell$-groups. In Tatra Mountains Mathematical Publications, vol. 5, no.1, pp. 43-50. 1210-3195.

Ton, D. (1995). Polar operator in lattice of radical classes of $\ell$-groups. Tatra Mountains Mathematical Publications, 5(1), 43-50. 1210-3195.