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

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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