Geodesic
Radical classes of distributive lattices having the least element
Mathematica Bohemica, Tome 127 (2002) no. 3, pp. 409-425

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Let $\mathcal D$ be the system of all distributive lattices and let $\mathcal D_0$ be the system of all $L\in \mathcal D$ such that $L$ possesses the least element. Further, let $\mathcal D_1$ be the system of all infinitely distributive lattices belonging to $\mathcal D_0$. In the present paper we investigate the radical classes of the systems $\mathcal D$, $\mathcal D_0$ and $\mathcal D_1$.
Let $\mathcal D$ be the system of all distributive lattices and let $\mathcal D_0$ be the system of all $L\in \mathcal D$ such that $L$ possesses the least element. Further, let $\mathcal D_1$ be the system of all infinitely distributive lattices belonging to $\mathcal D_0$. In the present paper we investigate the radical classes of the systems $\mathcal D$, $\mathcal D_0$ and $\mathcal D_1$.
DOI : 10.21136/MB.2002.134071
Classification : 06D05, 06D10
Keywords: distributive lattice; infinite distributivity; radical class 
Jakubík, Ján. Radical classes of distributive lattices having the least element. Mathematica Bohemica, Tome 127 (2002) no. 3, pp. 409-425. doi: 10.21136/MB.2002.134071
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