Radical classes of distributive lattices having the least element

Ján Jakubík

Mathematica Bohemica (2002)

  • Volume: 127, Issue: 3, page 409-425
  • ISSN: 0862-7959

Abstract

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Let 𝒟 be the system of all distributive lattices and let 𝒟 0 be the system of all L ∈ 𝒟 such that L possesses the least element. Further, let 𝒟 1 be the system of all infinitely distributive lattices belonging to 𝒟 0 . In the present paper we investigate the radical classes of the systems 𝒟 , 𝒟 0 and 𝒟 1 .

How to cite

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Jakubík, Ján. "Radical classes of distributive lattices having the least element." Mathematica Bohemica 127.3 (2002): 409-425. <http://eudml.org/doc/249068>.

@article{Jakubík2002,
abstract = {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 $\mathcal \{D\}_1$.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {distributive lattice; infinite distributivity; radical class; distributive lattice; infinite distributivity; radical class},
language = {eng},
number = {3},
pages = {409-425},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Radical classes of distributive lattices having the least element},
url = {http://eudml.org/doc/249068},
volume = {127},
year = {2002},
}

TY - JOUR
AU - Jakubík, Ján
TI - Radical classes of distributive lattices having the least element
JO - Mathematica Bohemica
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 127
IS - 3
SP - 409
EP - 425
AB - 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 $\mathcal {D}_1$.
LA - eng
KW - distributive lattice; infinite distributivity; radical class; distributive lattice; infinite distributivity; radical class
UR - http://eudml.org/doc/249068
ER -

References

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